The length of a rectangle is twice its width. If the perimeter is 36 ft find its area.

Hi micahmorse.Here is your
answer-

Let the width of the rectangle be x
ft.

Then, its length= 2x
ft

Now, Perimeter of a rectangle=
2(l+w)

This implies,

         
      36=2(2x+x)

               
36=4x+2x

               
36=6x

                so,

   
                   x=36/6

                       x=6
ft.

                Hence, width=x=6
ft

                           length=2x=2*6=12
ft

                Now,

     
                 Area= l*w

                       Area=
12*6

                       Area=
72 square feet.     ...Ans