Posted by **Trisan** on Wednesday, November 18, 2009 at 11:53pm.

Solve the problem. Round answer to the nearest hundredth. Please Show All Work!

Suppose a pool has dimensions 12 ft. by 30 ft. A sidewalk of uniform width around the pool has an area of 200 square feet. What is the width of the walkway?

- Algebra 2 URGENT -
**drwls**, Thursday, November 19, 2009 at 12:10am
Let w be the sidewalk width.

The total sidewalk area will be

24w + 60w + 4w^2.

Drawing yourself a figure should show you why. The 4w^2 term is the area of the corners.

Set that equal to 200 and solve for w.

4w^2 +84w - 200 = 0

w^2 + 21w -50 = 0

You need to use the quadratic equation on that. It does not factor easily, an the roots are no integers.

w = [-21 + sqrt641]/2 = 2.159 feet is the positive root. Ignore the negative solution.

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