Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 8 - Polynomials and Factoring - 8-3 Multiplying Binomials - Practice and Problem-Solving Exercises - Page 490: 44

Answer

$(3x+6)(x+6)-3x^2$ = 396 $24x+36 = 396$ width is 15 feet, length is 45 feet

Work Step by Step

length = 3x width = x 3 foot barrier all around $(3x+3+3)(x+3+3)$ $(3x+3+3)(x+3+3)$ $(3x+6)(x+6)$ is area of entire space $3x*x = 3x^2$ is area of pavilion $(3x+6)(x+6)-3x^2$ $3x^2+18x+6x+36-3x^2$ $24x+36$ $24x+36 = 396$ $24x+36-36 = 396-36$ $24x = 360$ $24x/24 = 360/24$ $x = 15$
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