A rectangle is 64 cm long 40 cm wide find is area and perimeter​

Answers

Answer 1

Answer:

Assuming the length to be x and the width to be y.

Since the area is 64cm, hence

x*y = 64 (equation 1)

Since the perimeter is 40cm, hence

x + x + y + y = 40

2x + 2y = 40

2(x + y) = 2(20)

x + y = 20 (equation 2)

Hence by using simultaneous equation,

x = 20 - y (equation 3)

Substituting equation 3 into equation 1, we get

(20-y)*y=64

20y-y^2=64

Tidying up the equation,

y^2 - 20y + 64 = 0

By using factorisation,

(y-16)(y-4)=0

y=16 or y=4

By substituting y=16 into equation 1,

x*16=64

x = 4

By substituting y = 4 into equation 1,

x*4=64

x=16

Therefore,

The length is 4 cm while the width is 16 cm.

OR

The length is 16 cm while the width is 4cm.

Hope this helps!!


Related Questions

L
2.8
K
Solve AJKL. Round the answer to the nearest tenth.
A. J = 42.2°, K = 110.70, L = 27.1°
B. J = 110.70, K = 42.20, L = 27.1°
C. J = 42.2°, K = 27.1°, L = 110.70
D. J= 27.1°, K = 110.7°, L = 42.2°
Please select the best answer from the choices provided

Answers

Answer:

Result = 124.6

Step-by-step explanation:

If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit. Example

124.58

The first number of right of decimal point is 5

The second digit after decimal point is 8 which is greater than 5

So add 1 to 5

Result = 124.6

Write the new points after the translation and write the rule in coordinate notation.
TRANSLATION: 1 unit left
Q
U
Q(2,-2), X(2,0), G(4,0), U(3,-4)​

Answers

Q ////////////////////////////

$10,000 is invested at 0.75% annual interest for 2 years.
a. Simple Interest b. Compound Interest

Answers

Answer:

The simple interest is 10,150.00 The compound interest is $10,150.56

Step-by-step explanation:

A student rounds a number to 12.9. Which of the following is a possible value of the original number?

Answers

Answer:

12.85, 12.86, 12.87, 12.88, 12.89, 12.90, 12.91, 12.92, 12.93, and 12.94

Step-by-step explanation:

there is none

Convert 400 meters (m) to feet (ft). Round your answer to two decimal places. (1 metre = 3.28084 feet)

Answers

Answer:

1m----------3.28084ft

400m---------xft

x=(400*3.28084)/1

x=1,312.33 ft

Step-by-step explanation:

A shoe string is cut in to equal pieces that measure 0.50 of an inch. If the shoe string measures 7.50 inches, how many equal pieces can be cut?

Answers

15, all you gotta do is divide 7.50 by 0.50
15 is the correct answer

Describe the trend in the scatter plot . Explain your answer

Answers

It is a positive plot with a strong strength and no outliers.

From the given scatter plot it is a positive trend.

We need to describe the trend of given scatter plots.

How to identify the trend of the scatter plots?

A scatter plot shows a positive trend if y tends to increase as x increases. A scatter plot shows a negative trend if y tends to decrease as x increases. A scatter plot shows no trend if there is no obvious pattern.

Here, from the given graph it is a positive trend.

Hence, from the given scatter plot it is a positive trend.

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Write the number six and a half thousand in figures

Answers

Answer:

Step-by-step explanation:

6500 is the correct answer

What is 1.63 to the third power

Answers

Answer: 4.330747

Step-by-step explanation: Hoped this helped:))

Answer:

4.330747

Step-by-step explanation:

If a cone has a height of 16 feet and a volume
of 603.19 cubic feet, find the length of its
diameter.

Answers

Answer:

48 feet

Step-by-step explanation:

Use the equation: volume of a cone = 1/3 ×(height × radius ^2)

After finding the radius, multiply it with 2 to get the diameter

Name an interior angle that is supplementary to <7.

Will give BRAINLIEST!!!!

Answers

Answer:

2, 4, and 6

Step-by-step explanation:

Supplementary angles are angles that add to 180°.

We can see that the angles that make a straight line/straight angle with ∠7 are supplementary to it, because a straight line is 180°.

Those numbers would be be 2, which equals to 4, which equals to 6 and also 8, but that number isn't one of the answers

2,4, and 6

Find the perimeter of triangle round nearest tength

Answers

This is the answer. I hope it helps!

Find the greatest common factor of 6c^3 and 10c^4

Answers

Answer:

2c^3

Step-by-step explanation:

The greatest common divisor of 6 and 10 are 2

The factors that are common to 6c^3, 10c^4 would be 2ccc

Simplify that and you have 2c^3

I am voting in a state election. There are seven candidates for governor, four candidates for lieutenant governor, three candidates for the state house of representatives, and four candidates for the senate. In how many different ways can I fill out a ballot if I vote once for each office?

Answers

There are 20 different way to ballot vote which is the answer to a problem of sorts

Answer:

4

Step-by-step explanation:

CHOOSE 1 GOVERNOR

CHOOSE 1 LIEUTENANT GOVERNOR

CHOOSE 1 STATE HOUSE REP'.

CHOOSE 1 SENATOR

     =4 DIFFERENTNT WAYS.

PLEASE HELP ME GIVING LOTS OF POINTS AND BRAINLIEST TO THE FIRST LEGIT ANSWER!!!

A group of students were surveyed to find out if they like building snowmen or skiing as a winter activity. The results of the survey are shown below:

60 students like building snowmen
10 students like building snowmen but do not like skiing
80 students like skiing
50 students do not like building snowmen

Make a two-way table to represent the data and use the table to answer the following questions.

Part A: What percentage of the total students surveyed like both building snowmen and skiing? Show your work. (5 points)

Part B: What is the probability that a student who does not like building snowmen also does not like skiing? Explain your answer. (5 points)

Answers

Answer: 45.4% of students like both building snowmen and skiing

18.1% of students who do not like building snowmen also do not like skiing

Step-by-step explanation:

__________________________________________________

                 likes snowmen        doesn't like snowmen           total

__________________________________________________

 likes skiing    50                                30                                       80

__________________________________________________

doesn't like skiing   10                             20                                30

_________________________________________________

total                       60                                       50                         110

Is the graph increasing , decreasing or constant

Answers

Answer: Constant.

The graph does not have an incline and therefore has a slope of 0. This means that the graph is constant.

The graph is staying constant. The graph is not increasing nor decreasing.

A teepee in the shape of a cone has a
radius of 7 feet and a height equal to
its diameter. What is the volume of the
teepee? Use 3.14 for .

Answers

The volume of the given cone is 718.01 square feet. Therefore, option H is the correct answer.

What is the volume of a cone?

The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter. The volume of a cone formula is 1/3 πr²h.

Given that, radius of a base of cone is 7 feet.

A height of a cone equal to its diameter = 7×2 = 14 feet

Here, volume of a cone = 1/3 ×3.14×7²×14

= 718.01 square feet

Therefore, option H is the correct answer.

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A researcher was interested in knowing whether the mean weight of the second baby is higher, lower, or about the same as the mean weight of the first baby for women who have at least two children. She selected a random sample of 20 women who had at least two children and asked for the weights of the first two at birth. She found that the mean of the differences (first - second) was 5 ounces, and the standard deviation of the differences was 7 ounces.

Required:
a. Why was the researcher's study design better than taking independent samples of mothers and asking the first sample about the weight of their first baby and the sec_ and sample about the weight of their second baby?
b. Define the parameter of interest. Use appropriate notation.
c. Write the mean of 5 ounces and the standard deviation of 7 ounces using appropriate statistical notation.
d. Find a 90% confidence interval for the parameter that you defined in part (b). Write a sentence or two interpreting the interval.

Answers

You want someone to do all that work for you??

1. Find
the area of each figure to the nearest tenth.

Answers

Area = 85ft²

To find the area of the given square you can use the following equation

[tex]Area = Side^2\\Area = 8^2\\Area = 64[/tex]

To find the missing side of the given triangle, you will have to use Pythagorean's theorem

[tex]Short^2 + Long^2 = Hypotenuse^2\\Short^2 + 8^2 = 10^2\\Short^2 + 64 = 100\\Short^2 = 100 - 64\\Short^2 = 36\\Short= \sqrt{36} \\Short= 6 \\[/tex]

Now that we know what both sides are we can use the following equation to get the area of the triangle

[tex]Area = \frac{Side*Side}{2} \\Area = \frac{6*8}{2} \\Area = \frac{42}{2} \\Area = 21 \\[/tex]

After that, we can add both areas together and get the following

[tex]21+64=85[/tex]

what is 7.09 Divided by 101

Answers

Answer:

0.070198..

Step-by-step explanation: its an on going number so make sure to put the line on top on the 0198

(2a + 3b + 1) - (3a + 5b) - (2a - 2b – 3)

Answers

Answer:

4- 3a .............................

11th Grade And Algebra
4g + 13 =54​

Answers

g= 10.25 should be the answer if ur looking for g

Answer:

g = 41⁄4

Step-by-step explanation:

4g + 13 = 54

=> 4g = 54 - 13

=> 4g = 41

=> g = 41⁄4

∴ g = 41⁄4

Find the distance between the pair of points (2,-1) and (-5,-5)?

Answers

Answer:

down 4 and over 7 so 11

Step-by-step explanation:

Sade used the two blocks pictured to build a tower. What is the TOTAL VOLUME of the two blocks for this entire tower? * ​

Answers

Answer: V=120

have an amazing day <3

Answer:what is the answer i dont understand

plz help

If
you had 2 angles that equal 180 degrees and you was given a angle of
55 degrees What degree is the missing angle? *

Answers

Answer:

125 degrees for 540 degrees total

Step-by-step explanation:

Answer:

125° is the missing angle.

Step-by-step explanation:

Sum of all angles in a quadrilateral is 360°.

180°+55°+X°= 360°

235° + x = 360°

x = 360°-235°= 125°

x = 125°

RT and UW are parallel lines.

Which angles are corresponding angles?

Answers

UVX and RSV should be corrisponding angles

Of those women who are diagnosed to have early-stage breast cancer, one-third eventually die of the disease. Suppose a screening program for the early detection of breast cancer was started in order to increase the survival rate p of those diagnosed to have the disease. A random sample of 200 women was selected from among those who were screened by the program and who were diagnosed to have the disease. Let x represent the number of those in the sample who survive the disease.

Required:
a. If you wish to determine the community screening program has been effective, state the alternative hypothesis that should be tested.
b. State the null hypothesis.
c. If 164 women in the sample of 200 survive the disease, can you conclude that the community screening program was effective? Test using αα=.05 and explain the practical conclusion from your test.
d. Find the p-value for the test and interpret it.

Answers

Answer:

A) Alternative hypothesis; Ha: p_o > ⅔

B) Null hypothesis;

H0: p_o = ⅔

C) There is sufficient evidence to support the claim that the community screening programme was effective

D) p-value = 0

Its less than the significance value and so we will reject the null hypothesis and conclude that the community screening programme was effective

Step-by-step explanation:

A) We are told that ⅓ of those diagnosed eventually die of the disease. Thus, ⅔ is the fraction that will survive the disease.

Thus, the null hypothesis is;

H0: p_o = ⅔

We are told that a screening programme was started to increase the survival rate. Thus,the alternative hypothesis is;

Ha: p_o > ⅔

B) null hypothesis is;

H0: p_o = ⅔

C) 164 out of the 200 women selected survived the disease.

Thus sample proportion is;

p^ = 164/200

p^ = 0.82

For the z-score value, we will use the formula;

z = (p^ - p_o)/√((p_o(1 - p_o)/n)

Now, p_o = ⅔ = 0.67

Thus;

z = (0.82 - 0.67)/√((0.67(1 - 0.67)/200)

z = 4.51

From online p-value from z-score calculator, we have p-value ≈ 0

This is less than the significant level of 0.05 and therefore we will reject the null hypothesis and conclude that the community screening program was effective.

D) p-value ≈ 0

Reject the null hypothesis

which is the smallest integers, please answer, -9, 0, -2, -4, -11​

Answers

Answer:

-11 :)

Step-by-step explanation:

Answer: 0

Step-by-step explanation:


A random number generator is used to select a number from 1 to 100. What is the probability of selecting the number 167?

Answers

Well if it’s picking a number from 1 to 100 then the probability of it picking 167 would be 0 percent
1 out of 167? Not sure

There are 64 teams in a basketball tournament. All teams play in the
first round but only winning teams move on to subsequent rounds.
Write an explicit rule for T(n), the number of games in the nth round of
the tournament. State the domain:

Answers

The domain of this function is n ≥ 1, where n is the round of the tournament.

What is domain and range of the function?

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

The explicit rule for T(n), the number of games in the nth round of the tournament is 2ⁿ⁻¹. The domain of this function is n ≥ 1, where n is the round of the tournament.

Since all teams play in the first round, the number of games in the first round (n = 1) is 2¹⁻¹, which is equal to 1. As the rounds progress, the number of games in each round is doubled. T

herefore, the number of games in the second round (n = 2) is 2²⁻¹, which is equal to 2. The number of games in the third round (n = 3) is 2³⁻¹, which is equal to 4.

This pattern continues for each round, as the number of games in the nth round is 2ⁿ⁻¹.

Therefore, the domain of this function is n ≥ 1, where n is the round of the tournament.

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