# Geometry Puzzle – Challenge 65

Who can solve this math puzzle? This is a great math and critical thinking challenge to help you develop your creative thinking!

## Challenge:

If a side of a square is increased by $$20\%$$, what percent of the area of the square will be increased?

A- $$20\%$$

B- $$40\%$$

C- $$44\%$$

D- $$100\%$$

E- $$200\%$$

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Area of a square = side times side.
Let X be the side of a square. Then, the side of the square is $$X^2$$.
If a side of a square is increased by $$20\%$$, then the area of the square will be increased by 44 percent:
$$1.2X × 1.2X = 1.44X^2$$
$$1.44X^2$$ is 0.44 or $$44\%$$ bigger than $$X^2$$

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