## Elementary Algebra

Since the length is stated in terms of the width, we can let w represent the width. The length of the garden is 1 yard shorter than three times its width. Three times its width means 3w. 1 yard shorter than three times its width means 3w - 1. So, the length of the garden is 3w - 1. The formula for the perimeter of the rectangle is width + width + length + length The perimeter of the rectangle is 78 yards, so we set up the following equation: w + w + 3w - 1 + 3w - 1 = 78 8w - 2 = 78 8w = 80 Divide both sides by 8. w = 10 The width of the rectangular garden is 10 yards. The length of the rectangular garden is 3 $\times$ 10 - 1 = 29 yards.