SOLUTION: The length of a rectangular garden is 9 feet longer than its width. The garden's perimeter is 210 feet. Find the length of the garden.

Algebra ->  Rectangles -> SOLUTION: The length of a rectangular garden is 9 feet longer than its width. The garden's perimeter is 210 feet. Find the length of the garden.      Log On


   

Question 855605: The length of a rectangular garden is 9 feet longer than its width. The garden's perimeter is 210 feet. Find the length of the garden.
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
A perimeter is a fence around. It requires two sections of width and two sections of length.
2W + 2L = 210 [The garden's perimeter is 210 feet.]
L = W + 9 [The length of a rectangular garden is 9 feet longer than its width.]
Substitute the known value of L in the second problem into the first.
2W + 2(W+9) = 210
2W + 2W + 18 = 210
4W + 18 = 210
Subtract 18 from each side
4W = 192
Divide each side by 4
W = 48
If W is 48, then L is 9' longer, or 57.
.
Let's put it into the perimeter question to prove.
2(48) + 2(57) = 210
96 + 114 = 210
210 = 210
Success!