Find the sides of a rectangle if its area is 75cm2 and the other side is 3 times the other. Find the sides of the rectangle.

In order to find the sides of a rectangle, let’s compose and solve a quadratic equation.

Let us denote by the variable x cm the length of one of the sides of the rectangle. It is known from the condition that the area of the rectangle is 75 cm2, and one side is 3 times larger than the other.

Then the second side can be written as 3x.

We look for the area of the rectangle by the formula:

S = a * b, where a and b are the lengths of the sides of the rectangle.

x * 3x = 75;

3x ^ 2 = 75;

x ^ 2 = 75: 3;

x ^ 2 = 25;

We extract the square root:

x1 = 5; x2 = -5 The second root does not match.

So, the length of the first side is 5 cm, and the second is 5 * 3 = 15 cm.