Question

The perimeter of a rectangular pool is 294m.

If the length of the pool is 79m , what is its width?

Answer 1

Perimeter is the total distance around a plane figure.For a rectangle it has 4 sides hence its perimeter is the sum of all four sides (2 lengths and 2 widths ) i.e

Perimeter =2(length) +2(width)
P=2L+2W
294=2(79)+2W
294=158+2W
294-158=2W
136=2W
Divide through by 2
W=68
Hence the width of the pool is 68m

Answer 2

Given :

• The perimeter of a rectangular pool is 294m.
• The length of the pool is 79m.

⠀

To Find :

• The width of the rectangular pool.

⠀

Solution :

We know that,

`\qquad{ \bold{ \pmb{2(Length + Breadth ) = Perimeter_((rectangle))}}}`

Let's assume the width of the pool as x m.

Now, Substituting the given values in the formula :

`\qquad \dashrightarrow{ \sf{2(79 + x )= 294}}`

`\qquad \dashrightarrow{ \sf{158 + 2x = 294}}`

`\qquad \dashrightarrow{ \sf{2x = 294 - 158}}`

`\qquad \dashrightarrow{ \sf{2x = 136}}`

`\qquad \dashrightarrow{ \sf{ (2x)/(2) = (136)/(2) }}`

`\qquad \dashrightarrow{ \bf{x = 68}}`

Therefore,

`\qquad { \pmb{ \bf{ Width _((rectangular \: pool)) = 68 \: m}}}\:`