Help me find the perimeter of this figure.

Question

asked Sep 19, 2021 3.0k views

2 Answers

Tyrell · Answer 1 · 2021-09-20T04:47:14+0000

look at the semicircle

area of semicircle

${ \boxed{ \bold{ \red{A = \pi \: * {r}^(2) }}}}$

${ \bold{ \boxed{ \red{radius = (diameter)/(2) } }}}$

$radius = (8)/(2) = \boxed{4}$

$area = 3.14 * {4}^(2) \\ area = 50.24$

as we can see that is a parallelogram

so ,

area of parallelogram

$\boxed {\bold{ \red{area \: of \: parallelogram =b * h }}}$

$area \: = 8 * 10 \\ are \: = 80in$

area of fig = area of semicircle + area of parallelogram

total area = 50.24+80

total area = 130.24 in²

$\boxed{130.24 {in}^(2) }$