Question

The bases of a trapezoid will measure 14.5 ft and 22.5 ft. What is the minimum height of the trapezoid of the patio is to have an area os no less than 259 sq ft?

Answer 1

14 ft

Explanation:

The area of a trapezoid is given by

A = (1/2)(b1 +b2)h

You want ...

A ≥ 259

(1/2)(14.5 +22.5)h ≥ 259

37/2·h ≥ 259

h ≥ 259(2/37)

h ≥ 14 . . . . . . . feet

The height must be no less than 14 feet.