Question

The perimeter of a rectangle is 166 meters. Find the length and width if the length is an odd integer and the width is 4 times the next consecutive odd integer.

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Answer 1

• length: 15 meters
• width: 68 meters

Explanation:

You want the length and width of a rectangle whose length is an odd integer and whose width is 4 times the next consecutive odd integer. The perimeter is 166 meters.

Setup

Let x represent the length of the rectangle. Then the width is 4(x+2), and the perimeter is ...

P = 2(L+W)

166 = 2(x +4(x+2))

Solution

166 = 10x +16 . . . . . . simplify

150 = 10x . . . . . . . . . subtract 16

15 = x . . . . . . . . . . . divide by 10

4(x+2) = 4(15 +2) = 68 . . . . . width

The length of the rectangle is 15 meters; the width is 68 meters.