# The length of the parcel.

### 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 43E
To determine

## To find: The length of the parcel.

Expert Solution

The length of parcel is 120 ft.

### Explanation of Solution

Given:

The width of parcel is 50 ft.

The length of diagonal is 10 ft more than the length of parcel.

Calculation:

Let the length of parcel be x.

Tabulate the given information into the language of algebra.

 In words In Algebra length of parcel x Diagonal of parcel x+10

Model the equation for the above information.

(Length)2+(Width)2=(Diagonal)2x2+(50)2=(x+10)2

Simplify the above equation for x,

x2+2500=x2+100+20x20x=2400x=120

Thus, the length of parcel is 120 ft.

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!