Question

A tabletop in the shape of a trapezoid has an area of 6,550 square centimeters. Its longer base measures 115 centimeters and the shorter base is 85 centimeters. What is the height.

Answer 1

The height of the tabletop is 65.5 centimeters.

Explanation:

We are given that,

Length of the base = 115 centimeters

Width of the base = 85 centimeters

Area of the trapezoid shaped base = 6,550 square centimeters.

Since, we know,

Area of a trapezoid =
`(Length+Width)/(2)* Height`

So, we get,

`6550=(115+85)/(2)* Height`

i.e.
`6550=(200)/(2)* Height`

i.e.
`6550=100* Height`

i.e.
`Height=(6550)/(100)`

i.e. Height = 65.5 centimeters

Hence, the height of the tabletop is 65.5 centimeters.