Question

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

Answer 1

Answer: 261.5 in²

Explanation:

Separate the image into three shapes:

1. Top (Trapezoid)
2. Middle (Rectangle)
3. Bottom (Rectangle)

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}`