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Luda [366]
3 years ago
5

What is the area of a trapezoid ABCD with bases

Mathematics
1 answer:
zheka24 [161]3 years ago
6 0

A picture can help you sort this out.

Draw point E on CD so that AE ⊥ CD. Then the distance DE is 8cos(60°) = 4, and the height AE is 8sin(60°) = 4√3. The length of CD is 8+2×4 = 16. The area of the trapezoid is the product of the height and the average base length:

... A = (b1 +b2)/2×h = (8 cm + 16 cm)/2×(4√3 cm) = 48√3 cm² ≈ 83.14 cm²

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