Katalene wants to make a quilt in the shape of a golden rectangle. She only has enough binding material for a quilt with a perimeter of 29 feet. What should the dimensions of the quilt be? a. 5.44 ft by 9.06 ft b. 5.54 ft by 8.96 ft c. 5.74 ft by 8.76 ft d. 5.64 ft by 8.86 ft

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12-01-2018
Mathematics

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Katalene wants to make a quilt in the shape of a golden rectangle. She only has enough binding material for a quilt with a perimeter of 29 feet. What should the dimensions of the quilt be? a. 5.44 ft by 9.06 ft b. 5.54 ft by 8.96 ft c. 5.74 ft by 8.76 ft d. 5.64 ft by 8.86 ft

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jackiearjona jackiearjona · Answer 1 · 2018-01-12T19:07:39+01:00

jackiearjona jackiearjona

12-01-2018

All of these choices would result in a 29-ft perimeter for the quilt.
But choice-b is significantly closer to the golden ratio than the others are.
Golden Ratio = (1/2) (1 + √5) = 1.618... (rounded)
Choice a). 1.665
Choice b). 1.617 the answer is "B"
Choice c). 1.526
Choice d). 1.5709

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