For a trapezoid, the product of its height and upper bottom is 15 square centimeters. The product of its height and lower bottom is 21 square centimeters. What is the area of this trapezoid?

For a trapezoid, the product of its height and upper bottom is 15 square centimeters. The product of its height and lower bottom is 21 square centimeters. What is the area of this trapezoid?

Because trapezoid area = (upper bottom + lower bottom) × height △ 2
= [product of upper bottom and height (15) + product of lower bottom and height (21)] 2
So the area of this trapezoid is:
(15 + 21) △ 2 = 18 (cm2)