Question

A tabletop in the shape of a trapezoid has an area of 5,700 square centimeters. its longer base measures 135 centimeters, and the shorter base is 105 centimeters. what is the height? the height of the tabletop is centimeters.

Answer 1

47.5 cm

Explanation:

You want the height of a trapezoid with bases of lengths 135 cm and 105 cm, and an area of 5700 cm².

Area

The formula for the area of a trapezoid is ...

A = 1/2(b1 +b2)h

Filling in the given values, we have ...

5700 = 1/2(135 +105)h

5700 = 120h

h = 5700/120 = 47.5

The height of the tabletop is 47.5 cm.

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