I have a math problem im confused on don't mind the pencil

Question

asked Jan 11, 2020 151k views

1 Answer

IPeter · Answer 1 · 2020-01-17T11:50:59+0000

Answer: 261.5 in²

Explanation:

Separate the image into three shapes:

Top (Trapezoid):

$A=(b_1+b_2)/(2)\cdot h\\\\\\.\ =(9+(4+6+4))/(2)\cdot 5\\\\\\.\ =(23)/(2)\cdot 5\\\\\\.\ =(115)/(2)\\\\\\.\ =\boxed{57.5}$

Middle (Rectangle):

$A=L* w\\.\ =6* 10\\.\ =\boxed{60}$

Bottom (Rectangle):

$A=L* w\\.\ =18* 8\\.\ =\boxed{144}$

$Area_(\ image)=Area_(\ Top)+Area_(\ Middle)+Area_(\ Bottom)\\.\qquad\qquad=57.5+60+144\\.\qquad\qquad=\large{261.5}$