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 \(X^2\)
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
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