How to express the area of rectangle in terms of perimeter and length?

We know that the area of a rectangle is the product of the
length and the width.

A =
L*w

The perimeter of rectangle
is:

P = 2(L + w)

Since the
area has to be expressed only in terms of perimeter and length, we'll express the width
in terms of P and L.

P = 2L +
2w

2w = P - 2L

w =
(P-2L)/2

A =
[L*(P-2L)]/2

Therefore the area of a
rectangle, expressed only in terms of perimeter and length, is A =
[L*(P-2L)]/2.