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juin [17]
3 years ago
7

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

Mathematics
2 answers:
Andrei [34K]3 years ago
4 0

The area of trapezoid is calculated as -

Area of trapezoid = \frac{a + b}{2} X height

Here, a = base 1

b = base 2

Height is the height of trapezoid.

It is given that,

Area of trapezoid = 166.75 in

Base 1, a = 21 in

Base 2, b = 8 in

Area of trapezoid = \frac{a + b}{2} X height

166.75 in = \frac{21 in + 8 in}{2} X height

Height = [tex] \frac{ 166.75 in}{14.5}

Height = 11.5 in

Thus, height of trapezoid = 11.5 In

kirill115 [55]3 years ago
3 0
The usual equation for a trapezoid is base1+base2/2 * height. For this, 21+8/2 equals to 166.75. Use division, and your height is 11.5
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