A rectangle is three times as long as its wide. The perimeter is 36 cm. Calculate the length of each side

Answer 1

Width = 4.5 cm

Length = 13.5 cm

Perimeter = 2(Length) + 2(Width)

P = 2L + 2W

We are given

P = 36

L = 3W

So

36 = 2(3W) + 2(W)

Divide both sides of the equation by 2

18 = 3W + W

18 = 4W

Divide both sides by 4

4.5 = W

3(W) = L = 3(4.5) = 13.5

Check the values in the original formula for the Perimeter

36 = 2(13.5) + 2(4.5)

36 = 27 + 9

36 = 36

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