Problema Solution

The longer base of an isosceles trapezoid is 36 inches. The altitude is two-thirds its shorter base. Find the area in square meters and the perimeter in meters if the shorter base is one-half its longer base.

Answer provided by our tutors

The shorter base = 0.5*36 = 18 inches

The altitude = 2/3 *18 = 12 inches

The area = 0.5*(36+18)*12 = 324 square meters

The equal side = sqrt(9^2+12^2) = 15 meters

So the perimeter = 18+36+2*15 = 84 meters