Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter. Area: 49 square feet ft (smaller value) ft (larger value)

Length = 7 ft

Breadth = 7 ft

Step-by-step explanation:

Let lenght of rectangle be x

and breadth be y

Area =

Permiter of a rectangle is given by

Differentiating with respect to y we get

Equating with zero

Double derivative of the equation

So the value of y is minimum at 7.

Hence,

The mimimum length and breadth of the rectangle is both 7 ft.

step-by-step explanation:

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