## Algebra: A Combined Approach (4th Edition)

Published by Pearson

# Chapter 10 - Section 10.4 - Adding, Subtracting, and Multiplying Radical Expressions - Exercise Set - Page 710: 45

#### Answer

$15\sqrt 3$ inches

#### Work Step by Step

Finding the perimeter of the trapezoid involves adding the lengths of all the sides. Perimeter=$3\sqrt 3+2\sqrt {12}+\sqrt {12}+2\sqrt {27}$ Perimeter=$3\sqrt 3+2\sqrt {4\times3}+\sqrt {4\times3}+2\sqrt {9\times3}$ Perimeter=$3\sqrt 3+2(2)\sqrt {3}+2\sqrt {3}+2(3)\sqrt {3}$ Perimeter=$3\sqrt 3+4\sqrt {3}+2\sqrt {3}+6\sqrt {3}$ Perimeter=$(3+4+2+6)\sqrt 3$ Perimeter=$15\sqrt 3$ inches

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