Question

The figure is made up of two shapes, a semicircle and a rectangle.

Answer 1

Perimeter of quadrilateral +perimeter of curved shape=26+4pi

Answer 2

Answer:

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

Step-by-step 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 $8$ 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

$C=\frac{1}{2}\pi D$

we have

$D=8\ in$

substitute

$C=\frac{1}{2}\pi (8)=4 \pi\ in$

step 3

Find the perimeter of the figure

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