Question

If the perimeter of a parallelogram is 140 m, the distance between a pair of opposite sides is 7 metres

and its area is 210 sq. m. find the length of the two adjacent sides of the parallelogram​

Answer 1

10 m and 60 m.

Explanation:

Perimeter = 140 m

Area = 210
`m^(2)`

Distance between pair of opposite sides = height of the parallelogram = 7 m

Area of parallelogram =
`(1)/(2)` x base x height

210 =
`(1)/(2)` x base x 7

420 = 7 x base

base =
`(420)/(7)`

= 60 m

The base of the parallelogram is 60 m, which is equal to the length of the opposite side.

Perimeter = 2(a + b)

140 = 2 (a + 60)

140 = 2a + 120

2a = 140 - 120

2a = 20

a = 10 m

Thus, the length of two adjacent sides of the parallelogram are; 10 m and 60 m.