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jeyben [28]
4 years ago
11

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

Mathematics
1 answer:
posledela4 years ago
8 0

Answer:   261.5 in²

<u>Step-by-step explanation:</u>

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}

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