Artha is fencing off a small herb garden in her backyard. If she has 20 feet of fencing and wants a rectangular garden, what length and width will give her the largest area? Draw the graph of the function A (w) for area in terms of width and determine the maximum.

Question

Matthew

Mathematics

10 February, 21:58

Artha is fencing off a small herb garden in her backyard. If she has 20 feet of fencing and wants a rectangular garden, what length and width will give her the largest area? Draw the graph of the function A (w) for area in terms of width and determine the maximum.

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Answers (1)

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Kitten · Answer 1

The biggest possible area is one that is as close to a square as possible.

20 : 4 = 5 feet

5 x 5 = 25 ft²

The biggest area is 25 ft² with its length and width at 5 feet.