College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 1 - Measurement and Problem Solving - Learning Path Questions and Exercises - Exercises - Page 28: 15

Answer

The equation for trapezoid area $A=\frac{1}{2}a(b_1+b_2)$ is dimensionally correct.

Work Step by Step

Equation for area of trapezoid - $A=\frac{1}{2}a(b_1+b_2)$ LHS - $A$ has SI unit $m^2$. RHS - $(b_1+b_2)$ has SI unit $m$. $a$ has SI unit $m$. Their product, thus, has SI unit $m^2$. Both sides have the same units; the equation is dimensionally correct.
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