# The value of x . ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.6, Problem 48E
To determine

## To find: The value of x.

Expert Solution

The value of x is 30 cm.

### Explanation of Solution

Given:

The length of printed sheet is 140 cm and width is 100 cm.

The perimeter of poster is 112 times of the printed area.

Calculation:

The width of blank strip be x.

Tabulate the given information into the language of algebra.

 In words In Algebra Width of strip x Length of poster 140+2x Width of poster 100+2x

Model the equation for the above information.

Perimeterofposter=32(Perimeterofprintedarea)2(140+2x+100+2x)=32[2(140+100)]

Simplify the above equation for x,

2(240+4x)=3×240480+8x=7208x=240x=30

Thus, the value of x is 30 cm.

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