Question

A tabletop in the shape of a trapezoid has an area of 5,369 square centimeters. Its longer base measures 131 centimeters, and the shorter base is 105 centimeters. What is the height?

Answer 1

The height of the trapezoid = 45.5 cm

Explanation:

Here, the length of the base = 131 cm

The length of the shorter side = 105 cm

Let us assume the height = h

Also, area of the trapezoid = 5,369 sq. cm

Now, AREA OF THE TRAPEZOID =
`(1)/(2) * \textrm{(Sum of parallel sides)} * h`

`\implies 5,369  = (1)/(2)  * (131 + 105) *  h\\\implies h = (5,369 * 2)/(236)  =  45.5`

or, h = 45.5 cm

Hence the height of the trapezoid = 45.5 cm