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Find the area of the trapezoid.

Find the area of the trapezoid.-example-1
User Lathonez
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1 Answer

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Answer:


\large\boxed{A=54\ m^2}

Explanation:

The formula of an area of a trapezoid:


A=(b_1+b_2)/(2)\cdor h

b₁, b₂ - bases

h - height

We must use the Pythagorean theorem:


x^2+8^2=10^2


x^2+64=100 subtract 64 from both sides


x^2=36\to x=√(36)\\\\x=6\ m

We have b₁ = 6 + 6 = 12m, b₂ = 6m and h = 8m.

Substitute:


A=(12+6)/(2)\cdot6=(18)/(2)\cdot6=(9)(6)=54\ m^2

Find the area of the trapezoid.-example-1
User Hatmatrix
by
6.4k points