Question

4 What is the total perimeter?
(2 pts)
4ft,
12 ft.
Show ur work 30 points

Answer 1

`\qquad\qquad\huge\underline{{\sf Answer}}♨`

let's solve ~

Perimeter of the composite figure :

Perimeter of rectangle + circumference of semi circle - common side.

Perimeter of rectangle :

`\qquad \tt \dashrightarrow \:2(4 + 12)`

`\qquad \tt \dashrightarrow \:2(16)`

`\qquad \tt \dashrightarrow \:32 \: \: ft {}^{}`

Circumference of Semicircle :

`\qquad \tt \dashrightarrow \:\pi r`

`\qquad \tt \dashrightarrow \:3.14 * 2`

`\qquad \tt \dashrightarrow \:6.28 \: ft`

Length of common side = 4 feet

So, perimeter of composite figure :

`\qquad \tt \dashrightarrow \:32 + 6.28 - 4`

`\qquad \tt \dashrightarrow \:34.28 \: ft`