Question

A swimming pool has a perimeter of 96 m. The length is 3 m more than twice the width. Find the length and width of the pool.

Answer 1

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Step-by-step explanation:

Let x = length of the pool

then

x+3 = width of the pool

Remember, the perimeter of any rectangle is:

W + W + L + L

2W + 2L

2(W + L)

So, rewriting the above with our variable we have:

96 = 2(x + x+3)

96 = 2(2x+3)

96 = 4x+6

90 = 4x

22.5 meters = x (length of pool)

width:

x+3 = 22.5+3 = 25.5 meters (width of pool)

Answer 2

Answer:

49.5m (length) 46.5 (width)

Step-by-step explanation:

Let the width be x

then length = x + 3

x+ x+ 3 = 96

x+ x = 96-3

x+ x = 93

x = 46.5

width = x = 46.5 m

length = x+3 = 49.5