Chapter 8.4, Problem 17E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

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

# A rectangle has a perimeter 16 in. What is the limit (largest possible value) of the area of the rectangle?

To determine

To Find:

The area of the rectangle, has a perimeter of 16 in.

Explanation

Given:

The perimeter of a rectangle is 16 in.

Formula Used:

Perimeter of the rectangle P=2(b+h).

Calculation:

Substitute the given values in the formula.

2(b+h)=16.

b+h=8

The largest possible area of a rectangle is square.

Since, the length of the base (b) and height (h) of the rectangle is same

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