Question

The perimeter of a parallelogram is 64 m. If the length of one of its side is 20 m, the length of the other side will be _________. ​

Answer 1

Given :-

The perimeter = 64m

length of one side = 20m

To Find :-

The length of other side.

Solution :-

We know that,

P = 2(a + b)

In which, P = Perimeter, a = length of 1 side (base) & b = length of 2nd side

On inserting the values in the formula

We get ,

P = 2× (20 + b)

But also given that P = 64m

Therefore,

According to question,

${\sf{\implies\: 64\: =\: 2\: \times\: (20\: +\: b)}}$

${\sf{\implies\: {\dfrac{64}{2}}\: =\: 20\: +\: b}}$

${\sf{\implies\: 20\: +\: b\: =\: 32}}$

${\sf{\implies\: b\: =\: 32\: -\: 20}}$

${\sf{\implies\: b\: =\: 12}}$

Therefore, length of other side is 12m