Question

A tabletop in the shape of a trapezoid has an area of 5,665 square centimeters. Its longer base measures 135 centimeters, and the shorter base is 85 centimeters. What is the height? The height of the tabletop is centimeters.

Answer 1

Given data:

The given area of the trapezium is A=5,665 square centimeters.

The one of the base is B= 135 cm.

The other base of the trapezium is b=85 cm.

The expressionn for the area of the trapezium is,

`A=(1)/(2)(B+b)h`

Substitute the given values in the above expression.

`\begin{gathered} 5,665cm^2=(1)/(2)(135\text{ cm+85 cm)h} \\ h=51.5\text{ cm} \end{gathered}`

Thus, the height