Question

Hannah has a square plot of grass in her backyard. Each side of the plot has a length of 13 feet. On one side, a semicircular fountain with a radius of 5 feet cuts into the plot of grass. She wants to put a brick border around the edge of the grass, so that it will also separate the grass from the fountain. How many feet of brick will she need?Round to the nearest whole number

Answer 1

It is given that Hannah wants to put the brick border around the edge of the grass.

To find the border with grass:

It is given that the whole square plot is of grass along with the semicircular fountain.

Therefore, let this be denoted as x.

Then x is given as:

$x=\text{ Perimeter of square field + Perimeter of semi circle - the diameter of semicircle}$

Hence, we have

$\begin{gathered} x=4(13)+(2\pi(5))-(5+5) \\ x=52+10\pi-10 \\ x=42+10\pi \\ x=73.41ft \end{gathered}$

Therefore, 73.41 ft of bricks are required.