Algebra 1. Question 20. Thank you!

Question

asked Jun 4, 2019 130k views

1 Answer

Andrade · Answer 1 · 2019-06-09T19:15:22+0000

Look at the picture.

The formula of the area of a trapezoid is :

$A_T=(base+base)/(2)\cdot height$

We have:

$base=12m;\ base=5m;\ height=2\cdot3m=6m$

Substitute:
$A_T=(12+5)/(2)\cdot6=17\cdot3=51\ m^2$

The formula of the area of a circle is :

$A_C=\pi r^2$

We have
r=3m

Substitute:
$A_C=\pi\cdot3^2=9\pi\ m^2$

The area of the shaded portion of trapezoid:
A=A_T-A_C

Substitute:
$A=(51-9\pi)\ m^2\approx(51-9\cdot3.14)\ m^2=22.74\ m^2$