Question 61975
Call the length of the rectangle l. the width is 15 yards less than the length so the width is l - 15.

The perimeter of the rectangle = length + length + width + width

Using the length (l) and width (l - 15) then the perimeter can be found by

Perimeter = l + l + l -15 + l - 15 = 4l - 30

This equals 82 yards so


4l - 30 = 82  Add 30 to each side of the equation

4l = 82+30 = 112

4l = 112     Divide each side of the equation by 4

l = 112 / 4 = 28 Yards


The width is 15 less than this ie 28 - 15 = 13 Yards


(Be careful with the letter l which I have used in the example. It can look like a number one.)