The length of the rectangle is 3/5 of its width. Find the sides of a rectangle if its area is 225 cm2.

Let x denote the length greater than the side of the given rectangular quadrangle.

In the initial data for this task it is reported that one side length of this rectangular quadrangle is 3/5 of the length of its other side, therefore, the length of the smaller side of this rectangular quadrangle is 3x / 5.

It is also known that the area of ​​this quadrangle is 225 cm ^ 2, therefore, we can draw up the following equation:

x * (3/5) x = 225,

solving which, we get:

x ^ 2 = 225 * 5/3;

x ^ 2 = 375;

x = 3√15.

Therefore, the length of this quadrangle is 3√15 cm, and its width is 3√15 * (3/5) = 9√15 / 5 cm.

Answer: the length of this rectangle is 3√15 cm, and its width is 9√15 / 5 cm.