One side of the rectangle is 3 times larger than the other, the area of the rectangle is 36. Find the side of the rectangle.

To solve this geometric problem, it is necessary to know the formula for the area of ​​a rectangle, since it is on the basis of this formula that the equation for this problem will be constructed.
Let’s make an equation and solve the problem:
Let x centimeters be one side, then 3 centimeters is the other side. Since the area of ​​the rectangle is 36 centimeters2, we have the equation:
x * 3x = 36;
3×2 = 36;
x2 = 12;
The equation will have two roots:
x1 = √12
х2 = – √12 – does not satisfy the condition, because the side
x1 = 2√3 – first side;
the rectangle cannot be negative;
2√3 * 3 = 6√3 – second side;
Answer: 2√3 and 6√03.