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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The correct answer is C.
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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