SOLUTION: A rectangular swimming pool is 10 meters longer than twice its width. Determine the dimensions of the pool if the perimeter of the pool is 140 meters.

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Question 1007386: A rectangular swimming pool is 10 meters longer than twice its width. Determine the dimensions of the pool if the perimeter of the pool is 140 meters.
Found 2 solutions by tiffany222, addingup:
Answer by tiffany222(56) (Show Source):
You can put this solution on YOUR website!
Let width be x
Let length be y
y = 2x + 10
2x + 2y = P
2x + 2(2x + 10) = 140
2x + 4x + 20 = 140
6x + 20 = 140
6x = 120
x = 20
y = 2x + 10 = 2(20) +10 = 50
Final Answer:
Width = 20 meters
Length = 50 meters

Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website!
2L+2W= Perimeter
2L+2W= 140
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L= 2W+10 Let's use this value for L:
2L+2W= 140
2(2W+10)+2W= 140 Multiply on left to remove parenthesis
4W+20+2W= 140 Add W on left and subtract 20 on both sides
6W= 120 Divide both sides by 6
W= 20 This is the width, and the problem says that the length is:
L= 2(20)+10= 50
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Check:
2(50)+2(20)= 140
100+40= 140
140= 140 We have the correct answer