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Intermediate Algebra

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

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Section
BuyFindarrow_forward

Intermediate Algebra

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

For problems 55-70, set up an equation and solve each problem. (Objective 2)

A strip of uniform width is shaded along both sides and both ends of a rectangular poster that measures 12 inches by 16 inches (see Figure 3.22). How wide is the shaded strip if one-half of the poster is shaded?

To determine

To solve:

Each problem by setting up equation.

The width of the shaded strip if one half of the poster is shaded.

Explanation

Let, width of the shaded strip be x.

The length of the shaded rectangle is 162x.

The width of the shaded rectangle is 122x.

Area of the shaded rectangle is half of the total area.

Hence, area of shaded portion is 12(12)(16)=96

The quadratic equations are generally in the form x2+(a+b)x+(ab)=0.

(162x)(122x)=96(8x)(6x)=24

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