Question

The perimeter of a rectangular swimming pool is 446 centimeters. The width of the pool is 7 centimeters less than the length of the pool. Find the length and the width of the swimming pool.

Answer 1

length = 115

width = 115 -7 = 108

Explanation:

Formula:

Perimeter of rectangle with length 'l' and width 'b' is given by,

Perimeter = 2(l + b)

To find the length and breadth

Here perimeter = 446 cm

Let 'x' be the length of rectangle then width = x - 7

Perimeter = 2(l + b) =446

2(x + x - 7) = 446

2(2x - 7) = 446

2x - 7 = 446/2 = 223

2x = 223 +7

2x = 230

x = 230/2 = 115

Therefore length = 115

Then width = 115 -7 = 108

Answer 2

length = 115 cm

width = 108 cm

Explanation:

The perimeter of a rectangular swimming pool is 446 centimeters

LEt L be the length of the pool

The width of the pool is 7 centimeters less than the length of the pool.

width = length - 7

W= L-7

Given perimeter = 446

Perimeter of rectangle = 2(length)+2(width)

446 = 2(L) + 2(W) we know W = L-7

446 = 2(L) + 2(L-7)

446 = 2L + 2L - 14

Add 14 on both sides

460 = 4L

divide by 4 on both sides

L= 115

Length L= 115

Width W = L - 7 = 115 - 7= 108