The area of the rectangle is 250 cm2, one of the sides is 2.5 times larger than the other. Find the perimeter.

It is known from the condition that the area of the rectangle is 250 cm2. It is also known that one of the sides is 2.5 times larger than the other. In order to find the perimeter of a rectangle, we find the lengths of its sides.

Let’s denote the length of one of the sides with the variable x cm, then the length of the other side can be written as 2.5x cm

Let’s remember the formula for finding the area of a rectangle:

S = a * b;

2.5x * x = 250;

2.5x ^ 2 = 250;

x ^ 2 = 250: 2.5;

x ^ 2 = 100;

x = 10 cm the length of one of the sides, then the length of the second is 2.5 * 10 = 25 cm.

We are looking for the perimeter by the formula:

P = 2 (a + b) = 2 (10 + 25) = 2 * 35 = 7 cm.