Question

Please help, everything you need is in the photo attached

Answer 1

We have to calculate the perimeter of this composite figure.

This perimeter will be composed by different segments:

0. One length of the rectangle (21 ft)

,

1. One width of the rectangle (14 ft)

,

2. Another lwngth of the rectangle (21 ft), and

,

3. A semicircle (yet to be calculated).

We can calculate the length of the semicircle as half the perimeter of a circle. The diameter in this case is the width of the rectangle (14 ft).

Then, we can write:

$\begin{gathered} P_{sc}=\frac{1}{2}(\pi D) \\ P_{sc}\approx\frac{1}{2}(3.14\cdot14) \\ P_{sc}\approx21.98 \end{gathered}$

Then, we can now calculate the perimeter as the sum of the lengths of the segments we have listed:

$P=21+14+21+21.98=77.98$

Answer: 77.98 ft of fence are required.