When the area of the square is 18 square inches how fast (in inches per minute) is the perimeter increasing? The diagonal of a square is increasing at a rate of 3 inches per minute. When the area of...

When the area of the square is 18 square inches how fast (in inches per minute) is the perimeter increasing?

The diagonal of a square is increasing at a rate of 3 inches per minute. When the area of the square is 18 square inches how fast (in inches per minute) is the perimeter increasing?

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If the diagonal of the square is `x` , then a side of the square, `a` is,

`a = x cos(pi/4) = x/sqrt(2)`

The perimeter, `y` is given by,

`y = 4a`

`y = 4x/sqrt(2)`

`y =...

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