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.

Step-by-step explanation:

Formula for area of trapezium: $Area = \dfrac12 (\text{Sum of parallel sides})\times \text{(Distance between them)}$

Given: Area = $550\ cm^2$

Length of parallel sides : 23 cm and 27 cm

Let h=distance beteen them.

then

$550=\dfrac12 (23+27)(h)\\\\\Rightarrow\ 550=\dfrac12(50)h\\\\\Rightarrow\ 550=25h\\\\\Rightarrow\ h=\dfrac{550}{25}\\\\\Rightarrow\ h= 22$

Hence, the distance between them  = 22 cm.