Question

A rectangular playground is 60 meters longer than it is wide. It can be enclosed by 920 maters of
fencing. Find its length.

Answer 1

     The length of a rectangular playground that is 60 meters longer than it is width is of a length of 260 m.

Length of rectangle = 260 m

• We are told that it's rectangular and length is 60 m longer than it's width.

If the width(w) is x, then length is;

L = 60 + x

W = x

• Now,

Formula for perimeter of a triangle is;

P = 2(L + W)

Plugging in the relevant values, we have;

P = 2(60 + x + x)

P = 2(60 + 2x)

• We are told that the rectangular playground can be enclosed by 920 m.

Thus, P = 920

• Thus;

920 = 2(60 + 2x)

Divide both sides by 2 to get;

460 = 60 + 2x

Subtract 60 from both sides to get;

400 = 2x

x = 400/2

x = 200 m

Thus;

L = 60 + 200

L = 260 m

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