Question

rden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 27 ft long and 21 ft wide. If the gardener wantsund the garden, how many feet of fence are required? (Use the value 3.14 for it, and do not round your answer. Be sure to include the conwer.)ftft2ft321 ft)Х5?27 ftplanationCheck

Answer 1

To find the feet of fence needed:

1. Find the perimeter (cirfumference) of the semicircle:

$\begin{gathered} C=\frac{\pi}{2}d \\ \\ C=\frac{3.14}{2}(21ft)=32.97ft \end{gathered}$

2. Sum the perimeter of the semicircle and the 3 exterior sides of the rectangle to get the total perimeter of the garden:

$P=32.97ft+27ft+27ft+21ft=107.97ft$

Then, 107.97 feet of fence are required