Question

A rectangle has perimeter 20m. Express the area of the rectangle as a function of the length of one of its sides.

Answer 1

Area of rectangle is 10L-L²

Step-by-step explanation:

Let L be the length and W be the width.

Perimeter of rectangle = 2 ( L + W )

That is

           2 ( L + W ) = 20

               L + W = 10

                     W = 10 - L

We need to express the area of the rectangle as a function of the length of one of its sides.

           Area = Length x Width

              A = LW

               A = L(10 - L) = 10L-L²

Area of rectangle is 10L-L²