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Find the area of the shaded region.

Find the area of the shaded region.-example-1
User Abuzze
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6 votes

Answer:

16 square units

Explanation:

We can find the area of the shaded region by subtracting the area of the smaller (non-shaded) triangle from the area of the black-outlined triangle.

First, we can find the area of the black-outlined triangle:

A = (1/2) ⋅ b ⋅ h

A = (1/2) ⋅ (5 + 4) ⋅ 8

A = (1/2) ⋅ 9 ⋅ 8

A = (1/2) ⋅ 72

A = 36

Next, we can find the area of the non-shaded triangle:

A = (1/2) ⋅ 5 ⋅ 8

A = (1/2) ⋅ 40

A = 20

Finally, we can subtract the area of the non-shaded triangle from the area of the black-outlined triangle:

A = 36 - 20

A = 16 square units

User Victorbalssa
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