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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

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Chapter
Section
BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

For Problems 105 –114, set up an equation and solve each problem.

A rectangular-shaped pool 20 feet by 30 feet has a sidewalk of uniform width around the pool (see Figure 3.25). The area of the sidewalk is 336 square feet. Find the width of the sidewalk.

To determine

To find:

The width of the sidewalk.

Explanation

Approach:

1) Like terms are terms that contain exactly the same variables raised to exactly the same powers.

2) Two like terms can be added or subtracted in any polynomial.

3) Factorize the polynomial using middle term splitting or algebraic formula.

4) If ab = 0, then a = 0 or b = 0

Calculation:

Let the width of the sidewalk be x.

Now, the length and breadth of the bigger rectangle is given by 30 + 2x and 20 + 2x.

It is given that the area of the sidewalk is 336 square feet.

(30+2x)(20+2x)(30)(20)=336600+60x+40x+4x2600=3364x2+100x336=0x

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