Let the original side of the square be 3. Then its new side after doubling it will be:
3 × 2 = 6 (cm).
We determine the area of the original square by the formula S = a × a, where S is the area of the figure, and is its side, we get the following value:
S1 = 3 × 3 = 9 (cm2).
Similarly, we define the area of the enlarged square:
S2 = 6 × 6 = 36 (cm2).
Now let’s find the ratio of the enlarged square to the original:
36: 9 = 4.
Answer: the area of the new square will increase by 4 times.
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