Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - 4.6 Special Products - 4.6 Exercise Set - Page 277: 87

Answer

$$=t^2+7t+12$$

Work Step by Step

To find the total area of all of the shaded rectangles, we multiply the length of the overall rectangle by the width of the overall rectangle. Doing this, we find: $$\left(t+3\right)\left(t+4\right)\\ tt+t\cdot \:4+3t+3\cdot \:4 \\ =t^2+7t+12$$
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