# Solve Using Five-Step Problem-Solving Process

1. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.

A rectangular walkway is 18 feet longer than it is wide. If the area of the walkway is 88 square feet, find the length and the width.

2. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.

A rectangular cabinet door has a 20 inch by 38 inch glass panel in the center with a uniform wooden edge around the glass. If the area of the wooden edge is 248 square inches, how wide is the wooden edge?

3. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.

A diver jumps from a 48 foot cliff into the ocean below with an initial velocity of 8 ft/sec. The height of the diver from the ocean after t sec is given by h = -16t2 + 8t + 48. When does the diver hit the water?

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#### Solution Preview

Dear student, please refer to the attachment for the solutions.

Let the width of the rectangular walkway bex.

According to the given condition the length is given as (x+18).

The area of the rectangular walkway is given as

x(x+18)=88

Or x^2+18x-88=0

Or x^2+22x-4x-88=0

Or,x(x+22)-4(x+22)=0

Or,(x-4)(x+22)=0

Or,x=4,-22

Width of the rectangular walkway cannot be negative. ...

#### Solution Summary

This solution is comprised of a detailed step-by-step calculation of the given word problems related to Algebra. This solution also provides students with a clear perspective of solving linear equations in Algebra.