The perimeter of the rectangle is 14.8 dm, one of its sides is 4.2 dm larger than the other. Find the area of the rectangle.

It is known from the condition that the perimeter of the rectangle is 14.8 dm, and it is also known that one of its sides is 4.2 dm larger than the other. In order to find the area of a rectangle, we find its sides.

Let us denote one of the sides by the variable x, then the second side can be written as (x + 4.2).

Let’s recall the formula for finding the perimeter of a rectangle:

P = 2 (a + b);

2 (x + x + 4.2) = 14.8;

2x + 4.2 = 7.4;

2x = 3.2;

x = 1.6 in. on one side, 1.6 + 4.2 = 5.8 in. on the other side.

S = a * b = 1.6 * 5.8 = 9.28 dm2.