Question

The area of a trapezium is 550 cm2 and the length of the parallel sides is 23cm and 27cm, find the distance between them.

Answer 1

Answer: 22 cm.

Explanation:

Formula for area of trapezium:
`Area = \frac12 (\text{Sum of parallel sides})* \text{(Distance between them)}`

Given: Area =
`550\ cm^2`

Length of parallel sides : 23 cm and 27 cm

Let h=distance beteen them.

then

`550=\frac12 (23+27)(h)\\\\\Rightarrow\ 550=\frac12(50)h\\\\\Rightarrow\ 550=25h\\\\\Rightarrow\ h=(550)/(25)\\\\\Rightarrow\ h= 22`

Hence, the distance between them = 22 cm.