The area of a rectangle if its perimeter is 30 cm, and the width and length are in the ratio 2: 3.

In order to find the area of a rectangle, you need to know the lengths of the sides of the rectangle.

We know that the length and width are in a ratio of 2: 3, and the perimeter is 30 cm.

So the length can be written as 2x, and 3x is the width of the rectangle.

Let’s remember the formula for finding the perimeter of a rectangle.

P = 2 (a + b);

2 (2x + 3x) = 30;

2x + 3x = 30: 2;

x (2 + 3) = 15;

5x = 15;

We are looking for an unknown factor, divide the product by a known factor.

x = 15: 5;

x = 3.

So, the length of the rectangle is 2 * 3 = 6 cm, then the width of the rectangle is 3 * 3 = 9 cm.

We are looking for an area. S = a * b = 6 * 9 = 54 cm ^ 2.