a trapezoid with an area of 166.75 in has bases that measure 21in and 8 in find the height of the trapezoid

Mathematics

1 answer:

alisha [4.7K]2 years ago

6 0

Answer:

height = 11.5 in

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = $\frac{1}{2}$ h(a + b)

where h is the height and a, b the bases

here a = 21, b = 8 and A = 166.75, hence

$\frac{1}{2}$ h(21 + 8) = 166.75

Multiply both sides by 2 to eliminate the fraction

29h = 333.5 ( divide both sides by 29 )

h = 11.5 in

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