Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Section 8.3 - Operations with Radicals - Exercise Set: 91

Answer

Perimeter=$2+2\sqrt2$ inches Area=$1$ square inch

Work Step by Step

Perimeter is the sum of the lengths of the sides. $P=2+\sqrt2+\sqrt2$ Combine like radicals. $P=2+2\sqrt2$ The area of a triangle is one half the product of the base and height. $A=\frac{1}{2}bh$ $A=\frac{1}{2}(\sqrt2)(\sqrt2)$ Use the product rule for square roots. $A=\frac{1}{2}\times2$ Simplify. $A=1$
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