Question

Find the height of a trapezoid if the bases have lengths of 6 and 17 and the area of the trapezoid is 46 square units.

Answer 1

4 units

Explanation:

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

A =
`(1)/(2)` h(a + b)

where h is the height and a, b the bases

here A = 46, a = 6 and b = 17, hence

46 =
`(1)/(2)` h(6 + 17) ( multiply both sides by 2 )

92 = h(23) ← divide both sides by 23 )

h =
`(92)/(23)` = 4 units