The area of a trapezium is $850\ cm^2$. If the measure of one of the parallel sides and the perpendicular distance between them is 64 cm and 17 cm respectively. Find the measure of other parallel side.

Given:

The area of a trapezium is $850\ cm^2$.

The measure of one of the parallel sides and the perpendicular distance between them is 64 cm and 17 cm respectively.

To do:

We have to find the measure of the other parallel side.

Solution:

Let the length of the other parallel side be $x$ cm.

This implies,

Area of a trapezium $=\frac{1}{2}\times$ height $\times$ (Sum of the parallel sides)

$850=\frac{1}{2}\times17\times(x+64)$

$850\times2=17(x+64)$

$x+64=100$

$x=100-64$

$x=36$

The lengths of the other parallel side is 36 cm.

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