The area of a rectangle is 10 cm^2. One side of the rectangle is x cm. Express the perimeter of the rectangle in terms of x.

Answer 1

A = Area

P = Perimeter

One side is x.
Mark the other side with y.

A = x ∙ y

The area of a rectangle is 10 cm² so:

x ∙ y = 10

Divide both sides by x

y = 10 / x

P = 2 ( x + y )

P = 2 ( x + 10 / x )

P = 2 ( x ∙ x / x + 10 / x )

P = 2 ( x² / x + 10 / x )

P = 2 ( x² + 10 ) / x