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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.1, Problem 77E

To determine

The property of real numbers, so that the new area can be written as

Expert Solution

The property of real numbers that tells us that the new area can also be written as

**Given:**

The length of the vegetable garden is

The breadth of the vegetable garden is

The area of the garden is

The length of the garden is increased by

**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.

The current are of the garden is

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

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

The new area of the garden is already mentioned as

Therefore, the property of real numbers that tells us that the new area can also be written as