22. two adjacent sides of a parallelogram are 15 cm and 10 cm. if the distance between the longer side is 8 cm, find the area of the parallelogram. also find the distance between shorter sides.

Dear Student,

Please find below the solution to the asked query:

Given :  Adjacent sides of parallelogram  = 15 cm and 10 cm

And  if the distance between the longer side is 8 cm , So height of parallelogram with respect to longer base ( 15 cm ) is  = 8 cm

We know area of parallelogram  =  Base $\times$ Height

So,

Area of parallelogram  =  15 $\times$ 8 = 120 cm²                                 ( Ans )

Let , the distance between shorter sides = h , So

10 $\times$ h  =  120 ,

h  =  12

Therefore,

The distance between shorter sides = 12 cm                                    ( Ans )

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