BuyFind

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 1.6, Problem 47E
To determine

To find: The value of x.

Expert Solution

Answer to Problem 47E

The value of x is 4 in.

Explanation of Solution

Given:

The width of sheet is 15 in and the width of sheet is 20 in.

The perimeter of mat is 120 in.

Calculation:

Tabulate the given information into the language of algebra.

In words In Algebra
Width of strip x
Length of mat 20+2x
Width of mat 15+2x

Model the equation for the above information.

2(length+breadth)=Perimeterofmat2(15+2x+20+2x)=102

Simplify the above equation for x,

2(35+4x)=1024x+35=514x=16x=4

Thus, the value of x is 4 in.

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