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