Question

The length and width of a rectangle are consecutive odd integers. The perimeter of the rectangle is 96 centimeters. Find the length and width of the rectangle.

Width = centimeters Length = centimeters

Answer 1

23 cm, 25 cm

Explanation:

Let the Width be W cm.

Since the Length and Width are consecutive odd integers we know that the length:

Length = (W + 2) cm

Perimeter of Rectangle = Sum of all sides = 2 x Length + 2 x Width

So rewriting the perimeter , we have:

2W + 2(W+2) = 96 cm

Now lets solve for W to get the width.

2W + 2W + 4 = 96 cm

4W + 4 - 4 = 96 - 4

4W = 92 cm

W = 23 cm

Next, we know that the length = (W + 2) cm

Therefore the length = 23 + 2 = 25 cm