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What is the area of this compound figure?

What is the area of this compound figure?-example-1

2 Answers

4 votes

Area of 1 = 8 * 3 = 24

Area of 2 = 4 * 2 = 8

Area of 3 = 5 * 4 = 20

Total area = 24 + 8 + 20 = 52

User Nauti
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7.0k points
6 votes

Answer:

(24) + (20) + (8) = 52 ft^2

Explanation:

This figure is a compound of 3 rectangles that can be split up like in my attached picture.

The top, horizontal rectangle is 8x3 = 24 sq ft.

The bottom, almost square rectangle is 4x5 = 20 sq ft.

The middle rectangle has a height of 4 feet and a width of (8-6) = 2 feet.

So, its area is 4x2= 8 sq ft.

The compound figure is the sum of all of these areas:

24 + 20 + 8 = 52

The area of the compound figure is 52 sq ft.

What is the area of this compound figure?-example-1
User Dejay
by
7.6k points