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mamaluj [8]
3 years ago
5

Find the area of a trapezoid based on the information given below. H=4√2 b1=5√2 b2=3√2

Mathematics
1 answer:
alexgriva [62]3 years ago
3 0
The formula of the area of the trapezoid:
A=\dfrac{b_1+b_2}{2}\cdot h
We have:
b_1=5\sqrt2;\ b_2=3\sqrt2;\ h=4\sqrt2
Substitute:
A=\dfrac{5\sqrt2+3\sqrt2}{2}\cdot4\sqrt2=\dfrac{5\sqrt2}{2}\cdot4\sqrt2=\dfrac{5\cdot4\cdot\sqrt2\cdot\sqrt2}{2}\\\\=\dfrac{20\cdot2}{2}=20
Used: \sqrt{a}\cdot\sqrt{a}=a

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