Question

The length and width of a rectangle are consecutive odd integers. The perimeter is 120 meters. Find the length and width

Answer 1

Step-by-step explanation: Since the width and length are consecutive odd integers, call the width x and the length x + 2.

Now, it would be helpful to draw a picture of your rectangle

and label its parts to help you set up the equation.

Since the perimeter of the rectangle is 120 meters,

x + x + (x + 2) + (x + 2) = 120.

Simplifying from here we get 4x + 4 = 120.

Now subtract 4 from both sides to get 4x = 116.

Now divide both sides by 4 to get x = 29.

So the width of our rectangle is 29 meters

and the length, x + 2, is 31 meters,