1. Let us denote the side of the original square by the variable a.
2. Let’s find its area.
S1 = a ^ 2.
3. Find the side of the square after doubling it.
a × 2 = 2a.
4. Find the area of a square with a side enlarged 2 times.
S2 = (2a) ^ 2 = 2 ^ 2 × a ^ 2 = 4a ^ 2.
5. Let’s find how many times the area of the square will increase after increasing its side by 2 times.
S2 / S1 = (4a ^ 2) / a ^ 2 = 4.
Answer: if you enlarge the side of a square by 2 times, its area will increase by 4 times.
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