Question

The adjacent sides of a parallelogram are such that one is twice the other. If the perimeter of the parallelogram is 120 m, find the length of the adjacent sides​

Answer 1

Answer:

Breadth= x

Length= 2x

Perimeter= 120 m

2(x+2x)= 120

2(3x)= 120

6x= 120

X= 120/6

X= 20

Breadth= 20 m

Length= 40 m

VERIFY:

2(20+40)= 120

2(60)= 120

120= 120

LHS= RHS

Hence, verified

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Answer 2

The lengths of the adjacent sides of the parallelogram are 20 m and 40 m.

Given: The adjacent sides of a parallelogram are such that one is twice the other. If the perimeter of the parallelogram is 120 m.

To Find: The length of the adjacent sides​

Solution:

It is said that the ratio of the adjacent sides of the parallelogram is 1:2.

So, if we take one side of the parallelogram to be 'x'  (let)

then the other side of the parallelogram is 2x.

We know that the opposite sides of a parallelogram are equal and the perimeter of the parallelogram is 120 m. So, framing an equation, we get;

     x + 2x + x + 2x = 120

⇒  6x = 120

⇒  x = 20 m

So, one side of the parallelogram is 20 m and the adjacent side of the parallelogram is ( 20 × 2 )m = 40 m

Hence, the lengths of the adjacent sides of the parallelogram are 20 m and 40 m.

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