College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.4 - Page 63: 114

Answer

$x^{2} + 2x$

Work Step by Step

1. Area of the vertical rectangle $= width \times length$ $= [(x+3)-(x)] \times (x)$ $= (3) \times (x)$ $= 3x$ 2. Area of the horizontal rectangle $=width \times length$ $= (x) \times (x-1)$ $= x^{2} - x$ 3. Total area $= 3x + x^{2} - x$ $= x^{2} + 2x$
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