A playground at a mall is in the shape of a rectangle, and there is a 144 foot long fence around it. If the
rectangle is 6 feet longer than it is wide, what is the width, in feet, of the rectangle?

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joshnajd joshnajd · Answer 1 · 2020-02-12T08:55:05+01:00

Width of the playground is 33 foot.

Explanation:

A fence around the playground represents the perimeter.

If the playground is rectangular in shape, then the perimeter of the rectangle is known.

Perimeter of the rectangle = 144 foot

Let, width = b foot

Given:

length (l) = b+6 foot

We know,

Perimeter of the rectangle = 2 (l + b)

Putting the values of l and b in above equation we get,

[tex]144=2(b+6+b)\\72=2b+6\\66=2b\\b=33 foot[/tex]

length (l) = 33 + 6 foot

l = 39 foot

Hence, width of the playground is 33 foot.