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 40E
To determine

To find: The width of rectangular bedroom.

Expert Solution

Answer to Problem 40E

The width of rectangular bedroom is 12 ft.

Explanation of Solution

Given:

The length of bedroom is 7 ft more than its width.

The area of bedroom is 228ft2 .

Calculation:

Let the width of bedroom be x.

Tabulate the given information into the language of algebra.

In words In Algebra
Width of bedroom x
Length of bedroom x+7

Model the equation for the above information.

length×width=Areaofbedroomx×(x+7)=228

Simplify the above equation for x,

x2+7x=228(Expand)x2+7x228=0(Subtract875)(x+19)(x12)=0(Factor)x=19,x=12(Zero-productProperty)

The width of the bedroom must be a positive number, so the width of bedroom is 12 ft.

Thus, the width of rectangular bedroom is 12 ft.

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