To solve the problem, use a quadratic function. Two hundred eighty meters of fen

Question

To solve the problem, use a quadratic function. Two hundred eighty meters of fencing is available to enclose a rectangular playground. What should be the dimensions of the playground to maximize the area? To solve the problem, use a quadratic function. Two hundred eighty meters of fencing is available to enclose a rectangular playground. What should be the dimensions of the playground to maximize the area? To solve the problem, use a quadratic function. Two hundred eighty meters of fencing is available to enclose a rectangular playground. What should be the dimensions of the playground to maximize the area?

Explanation / Answer

Let the lenght and width of palyground be x and y

Perimeter = length of fencing

2x +2y = 280

x+y = 140 --- (1)

Area = x*y = x(140 -x) = -x^2 +140x

Maximum Area occurs for a quadratic function at vertex : x= -b/2a = -(140/(2*-1))

= 70 mt

x = 70 mt and y = 70 mt ( dimesnion of playground)

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