Hannah has a square plat of grass in her backyard. Each side of the plot has a length of 13 feet. On one side, semicircular fountain with a radius of feet cuts into the plot of grass. She wants to put a brick border around the edge of the grass, so that it also separate the grass from the fountain. How many feet of brick will she need? Round to the nearest whole number.
A. 50
B.48
C.58
D.55

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facundo3141592 facundo3141592 · Answer 1 · 2021-08-18T13:53:38+02:00

Here we just want to find the perimeter of the image below.

We will find that the correct option is D.

The perimeter will be equal to:

The perimeter of a square of side length of 13 ft, minus 5 ft (the diameter of the circle), plus half the perimeter of a circle of diameter 5ft.

Remember that for a square of side length L, the perimeter is:

P = 4×L

For a circle of diameter D, the perimeter is:

P = 3.14*D

Then the perimeter of the square of side length of 13ft is:

P = 4×13ft = 52ft

The perimeter of the half-circle of diameter 5ft will be:

P' = 3.14×5ft/2 = 7.85ft

Then, the perimeter of the whole figure is:

perimeter = 52ft - 5ft + 7.85ft = 54.85ft

Rounding to the nearest whole number, we get:

54.85ft ≈ 55ft

The correct option is D.

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