The perimeter of the rectangle is 12.8 cm. Find the area of the rectangle if the width is 2.4 cm less than the length.

Let x be the width.

So x + 2.4 – length

The perimeter is found by the formula:

P = 2 * (a + b);

In our case: P = 2 * (x + x + 2.4) = 2 * (2x + 2.4) = 4x + 4.8.

So the perimeter by the condition is 12.8, then 4x + 4.8 = 12.8;

4x = 8;

x = 2.

The area is found by the formula: S = a * b.

S = 2 * 4.4 = 8.8 cm ^ 2.

Answer: 8.8 cm ^ 2.