A rose garden is formed by joining a rectangle and a semicircle, as shown below

Question

asked Jan 19, 2023 86.3k views

1 Answer

Rex Whitten · Answer 1 · 2023-01-25T20:06:31+0000

1) This is a matter of finding the Perimeter. Note that the semicircle perimeter is given by:

$P_(semicicle)=(2\pi r)/(2)=\pi r$

2) So for this garden, we can tell the formula that yields the perimeter is:

$\begin{gathered} P=2b+h+\pi r,r=(16)/(2)=8 \\ P=2(21)+16+3.14\cdot8 \\ P=83.12ft \end{gathered}$

Note that there are two "bases" and one height and a semicircle.