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What is the area of the pentagon shown?

a.150cm^2
b.100 cm^2
c. 80cm^2
d.120cm^2​

What is the area of the pentagon shown? a.150cm^2 b.100 cm^2 c. 80cm^2 d.120cm^2​-example-1

1 Answer

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We can divide the pentagon into a rectangle (on the left) and a triangle (on the right)

The dimensions of the rectangle are 8x10 cm, so its area is


8\cdot 10=80\text{ cm}^2

The triangle has the same base as the rectangle, and its height is the difference between the sides of 15 and 10: the area is


(8\cdot (15-10))/(2) = 4\cdot 5 = 20\text{ cm}^2

So, the total area is


80\text{ cm}^2+20\text{ cm}^2=100\text{ cm}^2

User Harrisonlee
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