Chapter 5.4, Problem 21E

### 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 width of 16 cm and a diagonal of length 20 cm. How long is the rectangle?

To determine

To Find:

Length of the rectangle is 12 cm.

Explanation

Given A rectangle has a width of 16 cm and a diagonal of length 20 cm.

The figure can be redrawn as,

From the given data,

Width of the rectangle = 16 cm.

Length of the diagonal = 20 cm.

Let x be the length of the rectangle.

From the figure,

ABC is a right triangle,

From the Pythagorean Theorem,

AC2=AB2+BC2202

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