Perimeter of the rectangle = 22.4. The first side is 3.8 cm smaller than the second. What is the area of the rectangle?

In order to find the area of a rectangle, recall the formula:

S = a * b;

We need to know the length and width of the rectangle.

The condition says that the perimeter of the rectangle is 22.4 cm. It is also known that the first side is 3.8 cm less than the second.
Let’s denote by x cm the length of one of the sides, then the other side is (x – 3.8) cm.

P = 2 (a + b);

2 (x + (x – 3.8)) = 22.4;

x + x – 3.8 = 22.4: 2;

2x – 3.8 = 11.2;

2x = 11.2 + 3.8;

2x = 15;

x = 15: 2;

x = 7.5 cm.

7.5 – 3.8 = 3.7 cm.

We are looking for an area.

S = 7.5 * 3.7 = 27.75 cm2.