The figure is made up of two shapes, a semicircle and a rectangle. What is the exact perimeter of the figure? A. 4 pi + 26 in. B. 8 pi + 34 in. C. 4 pi + 34 in. D. 8 pi + 72 in.…

Question

asked Apr 19, 2018 111k views

2 Answers

Pyyyyysv · Answer 1 · 2018-04-25T01:46:25+0000

Answer:

Option A
$(4 \pi+26)\ in$

Explanation:

we know that

The perimeter of the figure is equivalent to the perimeter of a rectangle plus the perimeter of semicircle minus the length side of
inches

step 1

Find the perimeter of rectangle

the perimeter of rectangle is equal to

P=2(b+h)

we have

$b=8\ in$

$h=9\ in$

substitute

$P=2(8+9)=34\ in$

step 2

Find the circumference of semicircle

the of circumference of semicircle is equal to

$C=(1)/(2)\pi D$

we have

$D=8\ in$

substitute

$C=(1)/(2)\pi (8)=4 \pi\ in$

step 3

Find the perimeter of the figure

$34\ in+4 \pi\ in-8\ in=(4 \pi+26)\ in$