SOLUTION: The length of a rectangular garden is 10 feet longer than its width. The garden's perimeter is 192 feet. Find the length of the garden.

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Question 857589: The length of a rectangular garden is 10 feet longer than its width. The garden's perimeter is 192 feet. Find the length of the garden.
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter fence around the garden is 192. That represents 2 pieces of length and 2 pieces of width.
2L + 2W = 192
L = W + 10
Substitute the value of L in the second equation into the first.
2(W+10) + 2W = 192
2W + 20 + 2W = 192
4W + 20 = 192
4W = 172
W = 43
If the width is 43, then the length is 53.
.
Check by building a fence.
43+43+53+53=192
Add
192 = 192
Success!