# The length and width of square plot. ### 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 37E
To determine

## To find: The length and width of square plot.

Expert Solution

The length of garden is 60 ft and the width of garden is 40 ft.

### Explanation of Solution

Given:

Length of building lot is 60 ft and width of building lot is 40 ft.

Area of the parking lot is 12,000ft2 .

Calculation:

Let the side of square plot be x.

Tabulate the given information into the language of algebra.

 In words In Algebra Side of square plot x Area of entire plot x2

Model the equation for the above information.

Totalareaofplot=Areaofbuildinglot+Areaofparkingx2=60×40+12000

Simplify the above equation for x,

x2=2400+12000x2=14400x=120

Thus, the side of square plot is 60 ft.

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