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 39E
To determine

To find: The length and width of rectangular garden.

Expert Solution

Answer to Problem 39E

The width of rectangular garden is 35 ft and length is 25 ft.

Explanation of Solution

Given:

The length of garden is 10 ft more than its width.

The area of the garden is 875ft2 .

Calculation:

Let the width of garden be x.

Tabulate the given information into the language of algebra.

In words In Algebra
Width of garden x
Length of garden x+10

Model the equation for the above information.

length×width=Areaofgardenx×(x+10)=875

Simplify the above equation for x,

x2+10x=875(Expand)x2+10x875=0(Subtract875)(x+35)(x25)=0(Factor)x=35,x=25(Zero-productProperty)

The width of the garden must be a positive number, so the width of garden is 25 ft.

Length of rectangular garden is,

Length=x+10=x+25=35

The length of garden is 35 ft.

Thus, the width of rectangular garden is 35 ft and length is 25 ft.

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