One of the sides of the rectangle is 3 cm larger than the other, and its area is 10 m2. What is the smaller side of the rectangle.

In order to find the smaller side of the rectangle, let’s create and solve an equation.

Let’s denote by variable x – the length of one of the sides of the rectangle. Then the second side can be written as follows (x + 3) cm based on the condition that one of the sides is 3 cm larger than the other.

Let’s remember the formula for finding the area of ​​a rectangle and substitute known values ​​into it.

S = a * b,

x (x + 3) = 10;

x ^ 2 + 3x – 10 = 0;

D = b ^ 2 – 4ac = 9 + 40 = 49;

x1 = (-3 + 7) / 2 = 4/2 = 2;

x2 = (-3 – 7) / 2 = -10/2 = – 5 (the length of the side of the rectangle cannot be expressed as a negative number).

So, one side is 2 cm, and the other 2 + 3 = 5 cm.