Question

Given that the area of the trapezoid is 55cm find x

Answer 1

Answer: The value of x is 13.

Explanation:

Area of trapezoid =
`(1)/(2)*\text{sum of parallel sides}*\text{height}`

Here , Parallel sides = 9 cm , x cm

Height (Altitude ) = 5 cm

Area = 55 sq. cm

Substitute all values in the formula , we get

`55=\frac12*{(9+x)}*5\\\\ (2*55)/(5)=9+x\\\\ 22=9+x\\\\ x=22-9\\\\ x=13`

Hence, the value of x is 13.