The length of a rectangle is 6cm longer than its width.
if the perimeter of the rectangle is 32cm, find its area.

A = 55 cm²

Step-by-step explanation:

Here, L = W + 6 cm, and P = 2W + 2L = 2W + 2(W + 6 cm) = 32 cm

Then 2W + 2(W + 6 cm) = 32 cm becomes:

         2W + 2W + 12 cm = 32 cm, or

               4W                   = 20 cm.

Therefore, W = 20 cm / 4  =  5 cm

The area of this rectangle is A = L · W = (5 cm + 6 cm) · (5 cm), or

                                                             A = (11 cm)(5 cm), or A = 55 cm²