Question

The perimeter of a rectangular pool is 5656meters. If the length of the pool is 1616 meters, then find its width.​

Answer 1

CORRECT QUESTION :-

=>The perimeter of a rectangular pool is 56meters. If the length of the pool is 16 meters, then find its width.

SOLUTION :-

=>Here the perimeter and the length of the rectangular pool are given. We have to find the width of the pool.

=>The perimeter P of a rectangle is given by the formula, P=2l+2w , where l is the length and w is the width of the rectangle.

=>Given that, the perimeter is 56 meters and the length is 16 meters. So, substitute these values into the formula.

=>56=2(16)+2w

=>56=32+2w

=>2w = 56 - 32

=>2w = 24 ------ (Divide each side by 2)

=> w = 12.

Hence, the width of the rectangular pool is 12 meters.

Answer 2

The width of the rectangular pool is 1212 meters.

Given:

The perimeter of a rectangular pool is 5656 meters and the length of the pool is 1616 meters.

To Find:

The width of the rectangle.

Solution:

The perimeter of the rectangle is computed using the formula $2(l+b)$, where $l$ is the length and $b$ is the breadth of the rectangle.

The width of the rectangular pool will be found using the formula of the perimeter of the rectangle. Substitute the value of perimeter and length into the mentioned formula.

$2(1616+b)=5656$

Simplify the above expression to find the width of the pool.

$1616+b=2828\\b=2828-1616\\=1212\,\,{\rm meters}$

Thus, the width of the rectangular pool is 1212 meters.