# Chapter 8 - Geometry - 8.3 Rectangles and Squares - 8.3 Exercises - Page 553: 34

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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