A trapezoid has base length of six and 15 cm with an area of 136.5 cm². what is the height of the trapezoid

Question

A trapezoid has base length of 6 cm and 15 cm with an area of 136.5 cm². what is the height of the trapezoid?

Answer 1

Let a and b be the upper and lower lengths of a trapezoid and h be the height. The area is given by

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

We want the height.

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

where a = 6 cm, b = 15 cm and A = 136,5 cm².

h = [(2)(136.5)]/(6 + 15)

h = 13 cm