Question

A tabletop in the shape of a trapezoid has an area of 5,350 square centimeters. Its longer base measures 135 centimeters, and the shorter base is 65 centimeters. What is the height?

Answer 1

54 cm

Explanation:

Using the formula for the area of a trapezoid (area is the sum of the two bases times the height and then halved):

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

5350 = 1/2 (h) (135 + 65)

5350 = 1/2 (h) (200)

5350 = h (100)

5350/100 = h

h = 53.5

h ≈ 54 cm