Question

The perimeter of rectangle is 20m. If length is xm, then find the derivative of area with respect to x

Answer 1

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Let the other side of the rectangle be x. Then,

2(x+y) = 20

x+y = 10

y = 10 - x (we express the other side in terms of x)

A = x(10-x) = -x^2 +10x

A will be maximized when the rectangle has equal sides, hence a square. Remember that every square is also a rectangle.

maximum area is 5*5 = 25 m^2

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Answer 2

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