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loris [4]
3 years ago
11

A trapezoid has base lengths of 20 units and 28 units. The area of the trapezoid is 408 square units. What is the height of the

trapezoid?
Mathematics
1 answer:
TEA [102]3 years ago
6 0

Answer:

h = 17 units

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \frac{1}{2} h (b₁ + b₂ )

where h is the height and b₁ , b₂ the parallel bases

Here A = 408, b₁ = 20, b₂ = 28 , then

\frac{1}{2} h (20 + 28) = 408 ( multiply both sides by 2 to clear the fraction )

48h = 816 ( divide both sides by 48 )

h = 17

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Check below, please

Step-by-step explanation:

Step-by-step explanation:

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