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.

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): You can put this solution on YOUR website!
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.

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