Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 8 - Geometry - 8.3 Rectangles and Squares - 8.3 Exercises - Page 555: 34

Answer

a) Area of 7 ft x 1 ft = 7 ft$^{2}$ Area of 6 ft x 2 ft = 12 ft$^{2}$ Area of 5 ft x 3 ft = 15 ft$^{2}$ Area of 4 ft x 4 ft = 16 ft$^{2}$ b) The 4 ft x 4 ft plot has the greatest area. For both sets of plots the square plots had the greatest area.

Work Step by Step

Area of a rectangle: $A$ = $l$$w$ Area of a square: $A$ = $s$$^{2}$ $A$ = $l$$w$ $A$ = (7 ft)(1 ft) $A$ = 7 ft$^{2}$ $A$ = $l$$w$ $A$ = (6 ft)(2 ft) $A$ = 12 ft$^{2}$ $A$ = $l$$w$ $A$ = (5 ft)(3 ft) $A$ = 15 ft$^{2}$ $A$ = $s$$^{2}$ $A$ = (4 ft)$^{2}$ $A$ = 16 ft$^{2}$
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