Question

The area of a trapezium is 105cm². if one of the parallel sides is 28cm and the distance between the parallel sides is 5cm, find the length of the other parallel side.​

Answer 1

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Answer 2

$\bold{\huge{\mathcal{Solution}}}$

✅Given:

Area of the trapezium = 105cm^2

One of its parallel sides = 28cm

Distance between the parallel sides = 5cm

Length of other parallel side =?

Let the length of other parallel side be 'x'.

We know that,

Area of a trapezium =

1/2 *(sum of parallel sides)*height

According to question,

105cm^2 = 1/2*(28 + x)*5

105 * 2 / 5 = 28 + x

21 * 2 = 28 + x

42 - 28 = x

x = 14cm..

$\red{Therefore, \:the \:length\: of \:the\: other \:parallel \:side \:= \:14cm.}$