Question

HELP!!!!

Answer 1

Answer:

$37.55\ m$

Step-by-step explanation:

we know that

The perimeter of the figure is equal to the perimeter of semicircle plus the perimeter of quarter circle plus two times the length of $2\ m$ plus two times the length of $5\ m$

Find the perimeter of semicircle

we know that

The circumference of a semicircle is equal to

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

we have

$D=10\ m$

substitute

$C=\frac{1}{2}\pi(10)=5 \pi\ m$

Find the perimeter of a quarter of circle

we know that

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}\pi D$

we have

$D=10\ m$

substitute

$C=\frac{1}{4}\pi(10)=2.5 \pi\ m$

Find the perimeter of the figure

$5 \pi\ m+2.5 \pi\ m+2*2\ m+2*5\ m=7.5 \pi\ m+14\ m$

$7.5 \pi+14=37.55\ m$