# The length and width of building lot. ### 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 38E
To determine

## To find: The length and width of building lot.

Expert Solution

The width of building lot is 66 ft and length is 330 ft.

### Explanation of Solution

Given:

The length is five times as its width.

The area of building lot is half-acre.

Calculation:

Let the width of building lot be x.

Tabulate the given information into the language of algebra.

 In words In Algebra Width of building lot x Length of building lot 5x Area of half-acre building lot 21780

Model the equation for the above information.

Areaofbuildinglot=length×width43,560=x×5x

Simplify the above equation for x,

5x2=21780x2=217805x2=4356x=66

Length of building lot is,

Length=5x=5×66=330

Thus, the width of building lot is 66 ft and length is 330 ft.

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