The area of a trapezium is 34 cm² and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

Solution

Let the required other side = x cm
Area of the trapezium = $space space space 1 half cross times space left square bracket Sum space of space parallel space sides right square bracket space cross times space left square bracket Height right square bracket$
$34 space cm squared space equals space 1 half cross times left square bracket 10 plus straight x right square bracket space cross times space 4 space cm squared$
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or $space space space space space space space space space space space space space space space 10 plus straight x space equals space 17 space rightwards double arrow space straight x space equals space 17 minus 10 space equals space 7 space cm$
Hence, the required other side = 7 cm.