the
The shape of a garden is rectangular in the middle and semi circular
at the ends as shown in the diagram. Find the area and the perimeter
Т.
of this garden [Length of rectangle is
7m 20-(3.5 +3.59 metres).
1
DI
20 m​

Answer:

[tex]Area = 129.5m^2[/tex]

[tex]Perimeter = 48m[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the area and the perimeter of the garden

Calculating Area

First, we calculate the [tex]area\ of\ the\ rectangle[/tex]

[tex]A_1 = L * B[/tex]

Where:

[tex]L = 20-(3.5 +3.5)[/tex]

[tex]B = 7[/tex]

So:

[tex]A_1 = (20 - (3.5 + 3.5)) * 7[/tex]

[tex]A_1 = (20 - 7) * 7[/tex]

[tex]A_1 = 13 * 7[/tex]

[tex]A_1 = 91[/tex]

Next, we calculate the area of the two semi-circles.

Two semi-circles = One Circle

So:

[tex]A_2 = \pi r^2[/tex]

Where

[tex]r = \frac{7}{2}[/tex]

[tex]A_2 = \frac{22}{7} * (\frac{7}{2})^2[/tex]

[tex]A_2 = \frac{22}{7} * \frac{49}{4}[/tex]

[tex]A_2 = \frac{22}{1} * \frac{7}{4}[/tex]

[tex]A_2 = \frac{22*7}{4}[/tex]

[tex]A_2 = \frac{154}{4}[/tex]

[tex]A_2 = 38.5[/tex]

Area of the garden is

[tex]Area = A_1 + A_2[/tex]

[tex]Area = 91 + 38.5[/tex]

[tex]Area = 129.5m^2[/tex]

Calculating Perimeter

First, we calculate the perimeter of the rectangle

But in this case, we only consider the length because the widths have been covered by the semicircles

[tex]P_1 = 2 * L[/tex]

Where:

[tex]L = 20-(3.5 +3.5)[/tex]

So:

[tex]P_1 =2 * (20-(3.5 +3.5))[/tex]

[tex]P_1 =2 * (20-7)[/tex]

[tex]P_1 =2 * 13[/tex]

[tex]P_1 =26[/tex]

Next, we calculate the perimeter of the two semi-circles.

Two semi-circles = One Circle

So:

[tex]P_2 = 2\pi r[/tex]

Where

[tex]r = \frac{7}{2}[/tex]

[tex]P_2 = 2 * \frac{22}{7} * \frac{7}{2}[/tex]

[tex]P_2 = \frac{2 * 22 * 7}{7 * 2}[/tex]

[tex]P_2 = \frac{308}{14}[/tex]

[tex]P_2 = 22[/tex]

Perimeter of the garden is

[tex]Perimeter = P_1 + P_2[/tex]

[tex]Perimeter = 26 + 22[/tex]

[tex]Perimeter = 48m[/tex]

which expression is equivalent to 2(a+3) when a equals 3

2(3)
5(3)
2(3)+3
2(3)+6​

what is the correct answer to 4x1 3/8

How did immigration to the United States from Europe change between 1840 and 1850?
It decreased by half.
It decreased by a third.
It more than tripled.
It increased tenfold.

Does anyone know what to change to make line “p” and “q” parallel?

Need help solving #7 please

What is 16 x 2? This is a random question! I want to give away points so be quickkkkk!

Choose
A) 31
B) 34
C) 32
D) chicken wing

I’ll give BRAINLIEST just pls help :(

1
What is the solution set for -2x + 1 <-4x - 3?
-10
-5
0
5
10
A.
B.
C.
x<2
X> 2
X<-2
x>-2
D.
Look at pic for details

Weston, Lila and Jenny have 72 gumballs all together. Ben has two candy bars. If the gumballs are equally
divided, how many will each person get?

Can somebody plz answer questions 13-18 correctly thank you!

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST!!!! :DDD

jeff is buying books at a used bookstore. he wants to approximate the total cost of his purchase before checking out. which amount is the most reasonable approximation of the total price of the 5 books?

please help!!!
I really confused ​

A scale factor of 5 was applied to a triangle. What would be the new length of the height and width of the triangle?

The dimensions for a rectangular prism are x + 2 for the length, x + 3 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form. The volume of the prism can be expressed as (_____)

please if you can explain it to me, I want to understand how to do this as well. thank you for your help

1.through: (4,1). parallel to y=2x-3

2.through (4,4) parallel to y=3/2x -2

3.through (4,4) parallel to y=3/2 x-4

4.through (-1,1) prep to y=- 1/3 x+1

5.through (-3,3) prep to y=-3x+4

Helpppppppppp!!!!!!!!!

please help it is due today

Plz help!!!!!!!!!!!!!! Will give brainliest!

If f(x)=2(x-3)x4, what is f(-2)? PLEASE HELP ILL GIVE BRAINLIEST

I need help with this question yeah i know i am spamming but i have to get this done or my mom will make me live with my dad!!!1!!!!!

HELP PLZ!! WILL MAKR BRAINLIEST

Find the slope of the line that passes through the points (9, 4) and (5, -3).

What is the expression for 7 times the sum of 24 and 36?

PLS ANSWER IM DLING MIDTERM RN
Given that triangle GHI is congruent to triangle NOP which of the following statements is FALSE?
GI = NP
Angle G = angle N
O=H
GH = PO

PLEASE ANSWER I NEED HELP

Which ordered pair is a solution of the inequality y < 3x + 1?

A. (−3, −2)
B. (3, 14)
C. (1, −3)
D. (1, 6)

In an activity, students are pulling marbles from a large jar containing blue and red marbles. In their sample, students will calculate the proportion of blue marbles. Which of the following sample sizes will have the largest sampling variability?

5
10
15
20

18 vocabulary words learned in 2 hours; 27 vocabulary words learned in 3 hours

To measure the length of the pond, Jacob marked off congruent triangles as shown in the diagram.

How does he know the lengths of AB and XY are equal?

A. AAS and then corresponding parts of congruent triangles are congruent

B. SSS and then corresponding parts of congruent triangles are congruent

C. SAS and then corresponding parts of congruent triangles are congruent

D. ASA and then corresponding parts of congruent triangles are congruent

can i kiss blackbeltur please? Thank you. Here is a test Good luck answering! No calculalators.
612432x3131324467676898=
551736475338+71235205723914-74832-439891-4321=
55=4915=1