Question

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

Answer 1

Answer:   261.5 in²

Step-by-step explanation:

Separate the image into three shapes:

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

Top (Trapezoid):

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

Middle (Rectangle):

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

Bottom (Rectangle):

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

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