SOLUTION: A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width if the area of the pool and path combined is 416 square meters what is the width of the path

Question 895844: A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width if the area of the pool and path combined is 416 square meters what is the width of the path
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Total dimensions: Using w for width of the path,
2w+10 and 2w+20.
to account for combined pool area and path area.

Simplify.

Discriminant,

That quadratic IS factorable as (w-3)(w+18) and the equation could be solved through factoring.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width if the area of the pool and path combined is 416 square meters what is the width of the path

Let UNIFORM width of path, be W
Then width on either end of pool = W + W, or 2W
Area of pool and path = (2W + 10)(2W + 20), and area of pool and path = 416.
Thus, (2W + 10)(2W + 20) = 416

(W - 3)(W + 18) = 0
W, or width of path = m
You can do the check!!
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