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 :

$\qquad \tt \dashrightarrow \:\pi r$

$\qquad \tt \dashrightarrow \:3.14 \times 2$

$\qquad \tt \dashrightarrow \:6.28 \: ft$

Length of common side = 4 feet

So, perimeter of composite figure :

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

$\qquad \tt \dashrightarrow \:34.28 \: ft$