   Chapter 8.1, Problem 52E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

The perimeter of the rectangle is 32 cm. Where x is the width and y is the length, express the area A of the rectangle in terms only of x.

To determine

To find:

The area A of the rectangle.

Explanation

Converting theoretical statement into mathematical statement and the calculation is followed by suitable geometric formulae.

Calculation:

Given:

The perimeter of a rectangle =32 cm

Here,

x is the width and

y is the length

The perimeter of a rectangle P=2l+2w

32=2y+2x

Add 2x on both sides,

322x=2y+2x2x

322x=2y

Divide by 2 on both sides,

322x2=y

Factorize 322x as 2(16x)

2(

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