Answer
$$2xy+2xz+x^2+y^2+2yz+z^2$$
Work Step by Step
We multiply the lengths of each side of the rectangle to find the total area of the figure:
$$\left(x+y+z\right)\left(x+y+z\right) \\ 2xy+2xz+x^2+y^2+2yz+z^2$$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 4 - Polynomials - 4.7 Polynomials in Several Variables - 4.7 Exercise Set - Page 285: 76
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