One side of the rectangle was enlarged 3 times, and the other was reduced 2 times and got a square.

One side of the rectangle was enlarged 3 times, and the other was reduced 2 times and got a square. What is the side of a square if the area of a rectangle is 54 m2?

We know that one side of the rectangle was enlarged 3 times, and the other was reduced 2 times and got a square. You need to find what the side of the square is equal to if the area of the rectangle is 54 m ^ 2.

Let’s denote by x – one side of the square, and by y – the other side of the square.

The area of the square is 54 m ^ 2:

S = a * b;

54 = x * y.

One side was enlarged 3 times (3x), and the other side was reduced by 2 (y / 2) and got a square:

3x = y / 2 (the sides of the square are equal)

Multiply both sides of the equation by 2:

y = 6x.

x * 6x = 54;

6x ^ 2 = 54;

x ^ 2 = 9;

x = √9;

x = 3.

Answer: the side of the square is 3 m.