A gardener has 920 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing. river garden What dimensions would guarantee that the garden has the greatest possible area? longer side: shorter side: 230 460 ft (feet) ft (feet)

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter9: Quadratic Equations And Functions
Section9.5: Solve Applications Of Quadratic Equations
Problem 9.74TI: A rectangular tablecloth has an area of 80 square feet. The width is 5 feet shorter than the length...
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please help with this practice problem. Not sure if I did it correctly 

A gardener has 920 feet of fencing to fence in a rectangular garden. One side of the garden is
bordered by a river and so it does not need any fencing.
river
garden
What dimensions would guarantee that the garden has the greatest possible area?
ft (feet)
shorter side: 230
longer side: 460 ft (feet)
greatest possible area: 105800
ft² (square-feet)
Transcribed Image Text:A gardener has 920 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing. river garden What dimensions would guarantee that the garden has the greatest possible area? ft (feet) shorter side: 230 longer side: 460 ft (feet) greatest possible area: 105800 ft² (square-feet)
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