College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 6 - Section 6.4 - Determinants and Cramer's Rule - 6.4 Exercises - Page 535: 73

Answer

7 million square feet

Work Step by Step

Let’s shift the bottom corner to (0,0). That would give two other points of (4000,2000) and (1000,4000). Finding the determinant of that matrix by plugging in points as row pairs gives us 14,000,000. Since this is a triangle and not a parallelogram, we half that to get 7,000,000.
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