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The length of a rectangle is 3 feet longer than its width.

If the perimeter of the rectangle is 54 feet, find its length and width.

User Saumyaraj
by
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1 Answer

8 votes

Answer:

Length = 15ft

Width = 12ft

Explanation:

First, re-read the problem until you acknowledge it and can put it into your own words.

This is what I did:

Find the area of a rectangle by first finding the length and the width. Note that:

L = Length

W = Width

Find L and W

We will need formula:

P=2L+2W

A=LW

The length of a rectangle is 3 ft longer than its width :

L = 3 + W Equation [1]

"the perimeter of the rectangle is 30 ft" means

P = 54 Equation [2]

P = 54 = 2L + 2W

54 = 2(3+W) + 2W

54 = 6 + 2W + 2W

54 = 6 + 4W

48 + 4w

12 ft = w

L = 3 + W

L = 3 + 12

L = 15 ft

Area if needed

A = L*W

A = (12 ft)*(15 ft)

A = 180 sq ft

Kavinsky

User Yo Ludke
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