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The plans for a shed call for a rectangular floor with a perimeter of 204 ft. The length is two times the width. Find the length and width.
a-length b-width perimeter of rectangular floor: 2a+2b=204 The length is two times the width: a=2b 2a + 2b = 204 2*2b + 2b = 204 6b = 204|:6 b = 34 a=2b=2*34=68
Perimeter of a rectangle = 2(length + width) Let width be x and length be 2x. 204 ft = 2(2x+x) 204 ft = 2(3x) 204 ft = 6x 204/6 = x 34 = x therefore, width (x) = 34 ft length (2x) = 2(34) = 68 ft
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