SOLUTION: The perimeter of a swimming pool is 92m. The width is 4m more than half the length of the pool. Find the length and width of the pool.

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Question 517027: The perimeter of a swimming pool is 92m. The width is 4m more than half the length of the pool. Find the length and width of the pool.
Answer by jessica43(140) (Show Source):
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To solve this problem you need to use what you know to write equations. First, you know that the perimeter of the pool is 92m, so L + L + W + W = 92, or 2L + 2W = 92.
Next you know that the width is 4m more than half of the length:
W = 4 + (1/2)L
Now plug the second equation into the first for W:
2L + 2W = 92
2L + 2(4+(1/2)L) = 92
2L + 8 + L = 92
3L + 8 = 92
3L = 84
L = 28
So the length of the pool is 28m. Now plug this into the second equation to find the width:
W = 4 + (1/2)L
W = 4 + (1/2)(28)
W = 4 + 14
W = 18
So the width is 18m.