Areas Of Irregular Shapes Worksheet

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Finding the Areas of Irregular Shapes
What is the area covered by this irregular figure? For this kind of problem, divide the irregular area into
several regular shapes. Find each area separately, then add the areas together.
30¬
10¬
20¬
20¬
10¬
10¬
This figure could be divided several different ways.
30¬
30¬
10¬
10¬
20¬
20¬
20¬
20¬
10¬
10¬
10¬
10¬
The left rectangle is 20¬ × 10¬.
The top rectangle is 30¬ × 10¬.
The right rectangle is 20¬ × 10¬.
The bottom rectangle is 10¬ × 10¬.
A = lw
A = lw
A = lw
A = 20 × 10
A = 30 × 10
A = 10 × 10
2
2
2
A = 200 ft
A = 300 ft
A = 100 ft
The second rectangle has the same dimensions
Add the totals of the two rectangles.
and the same area as the first one, so the
2
300 + 100 = 400 ft
2
total area is 200 × 2 = 400 ft
.
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