SOLUTION: The difference between the length and width of a rectangular garden is 5 meters. The perimeter of the garden is 100 meters. Find the length and width of the garden.

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Question 993257: The difference between the length and width of a rectangular garden is 5 meters. The perimeter of the garden is 100 meters. Find the length and width of the garden.
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
L-W= 5, therefore L= W+5
2L+2W= 100 Substitute:
2(W+5)+2W= 100
2W+10+2W= 100 Add the W and subtract 10 from both sides
4W= 90 Divide both sides by 4
W= 22.5 And the problem says the length is 5 more:
L= 27.5
Let's proof this:
2L+2W= 100
2(27.5)+2(22.5)= 100
55+45= 100
100= 100 We have the correct answer.