# The property of real numbers, so that the new area can be written as A = 600 + 20 x .

### 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 1.1, Problem 77E
To determine

## The property of real numbers, so that the new area can be written as A=600+20x.

Expert Solution

The property of real numbers that tells us that the new area can also be written as A=600+20x is distributive property.

### Explanation of Solution

Given:

The length of the vegetable garden is 30ft.

The breadth of the vegetable garden is 20ft.

The area of the garden is 600ft2.

The length of the garden is increased by x. The area of the garden is increased to A=20(30+x).

Calculation:

The distributive property of real numbers states that multiplication of a number by a sum of two numbers is equivalent to the addition of the result obtained by multiplication of the number by each of the terms.

a(b+c)=ab+ac

The current are of the garden is 20×30=600ft2.

When the length of the garden is increased by x. The area of the garden is increased as follows.

A=20(30+x)

Use the distributive property of real numbers and find the area.

A=20×30+20×x=600+20x

The new area of the garden is already mentioned as A=600+20x.

Therefore, the property of real numbers that tells us that the new area can also be written as A=600+20x is distributive property.

### 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!