## Question

###### If the perimeter of a parallelogram is 140 m, the distance between a pair of opposite sides is 7 meters and its area is 210 sq m, find the length of two adjacent sides of the parallelogram

If the perimeter of a parallelogram is 140 m, the distance between a pair of opposite sides is 7 meters and its area is 210 sq m, find the length of two adjacent sides of the parallelogram.

## Answers

Since you have the height = 7, the area is base * height = 210 = 7b

so, b=30, one of the two sides.

The perimiter = 2a+2b = 2a + 60 = 140, so a = 40

The sides are 30 and 40

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