How many times will the area of a square increase if its side increases 11 times?

Given:
Square;
a2 = 11a1;
S2 / S1 =?
Solution:
A square is a rectangle with all sides equal. A square is also a rhombus, so it has the properties of a rectangle and a rhombus.
The area (S) of the square is equal to the square of the side (s).
S = a ^ 2;
Then the area of the original square is:
S1 = a1 ^ 2;
and the modified square:
S2 = a2 ^ 2;
Let’s find how the area of the square has changed:
S2 / S1 = a2 ^ 2 / a1 ^ 2 = (11a1) ^ 2 / a1 ^ 2 = 121a1 ^ 2 / a1 = 121;
Answer: increased 121 times.



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