Chapter 1.1, Problem 58E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

Find a formula for the described function and state its domain.

**58.** A rectangle has area 16 m^{2}. Express the perimeter of the rectangle as a function of the length of one of its sides.

To determine

**To find:** The function of the perimeter of the rectangle in terms of the length of one of the sides of rectangle and the function domain.

Explanation

**Given:**

The area of the rectangle is

**Formula used:**

Area of the rectangle,
*l*’ is the length of the rectangle and ‘*b*’ is the breadth of the rectangle.

Perimeter of the rectangle,
*l*’ is the length of the rectangle and ‘*b*’ is the breadth of the rectangle.

**Calculation**:

Let the length of the rectangle be *l* and the breadth be *b.* Since the area of the rectangle is

Express the equation (1) in terms of length

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