Answer
The width of the rectangular garden is 10 yards.
The length of the rectangular garden is 29 yards.
Work Step by Step
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.
