The perimeter of the rectangle is 25.2 dm, its length is 1.3 times its width. Find the area of the rectangle

It is known from the condition that the perimeter of the rectangle is 25.2 dm. It is also known that its length is 1.8 times greater than its width. In order to find the area of a rectangle, we calculate the length and width of the rectangle.

Let’s denote the width of the rectangle with the variable x, then the length can be written as 1.8x.

Let’s remember and apply the formula for finding the perimeter:

P = 2 (a + b);

2 (x + 1.8x) = 25.2;

2.8x = 25.2: 2;

2.8x = 12.6;

x = 12.6: 2.8;

x = 4.5 dm the width of the rectangle, then the length is 4.5 * 1.8 = 8.1 dm.

We are looking for an area using the formula:

S = a * b = 4.5 * 8.1 = 36.45 dm2.