Question

A tabletop in the shape of a trapezoid has an area of 6,731 square centimeters. Its longer base measures 127 centimeters, and the shorter base is 85 centimeters. What is the height?

Answer 1

`\boxed{The \ height \ of \ the \ tabletop \ is \ 63.5 \ centimeters}`

Explanation:

We are given that,

Length of the base = 127 centimeters

Width of the base = 85 centimeters

Area of the trapezoid shaped base = 6,731 square centimeters.

Since, we know,

`\bold{Area \ of \ a\ trapezoid}=(Length +Width)/(2)* Height`

So, we get,

`6731=(127+85)/(2)* Height`

i.e.
`6731=(212)/(2)* Height`

i.e.
`6731=106* Height`

i.e.
`Height=(6731)/(106)`

i.e. Height = 63.5 centimeters

Hence, the height of the tabletop is 63.5 centimeters.