A tabletop in the shape of a trapezoid has an area of 5,658 square centimeters. Its longer base measures 119 centimeters, and th

Question

Masteriza [31]

2 years ago

6

A tabletop in the shape of a trapezoid has an area of 5,658 square centimeters. Its longer base measures 119 centimeters, and th

e shorter base is 65 centimeters. What is the height?
The height of the tabletop is
centimeters.

Mathematics

1 answer:

Sedaia [141] · Answer 1 · 2021-12-13T13:53:31+03:00

Sedaia [141]2 years ago

3 0

The formula for finding the area of a trapezoid is: sum of bases*height*1/2
By plugging in the information that we already have, we know: (119+65)*height*1/2=5658
184*1/2*height=5658
92*height=5658
height=61.5cm.

Check:
119+65=184
184*61.5=11316
11316*1/2=5658