Geometry Puzzle – Challenge 73
Time for another great math challenge for those who enjoy solving mathematics and critical thinking challenges.
Challenge:
The perimeter of a square is 13 cm and the perimeter of an equilateral triangle is 7 cm. What is the difference of a side of the square and a side of a triangle?
A- \(\frac{7}{13}\) cm
B- \(\frac{11}{12}\) cm
C- \(1\frac{1}{4}\) cm
D- \(2\frac{1}{4}\) cm
E- \(\frac{13}{7}\) cm
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The correct answer is B.
The perimeter of a square is 13cm. Therefore, one side of the square is \(\frac{13}{4}\) cm.
The perimeter of the equilateral triangle is 7cm. Therefore, one side of the triangle is \(\frac{7}{3}\) cm.
The difference of a side of the square and a side of a triangle is:
\(\frac{13}{4} – \frac{7}{3} = \frac{39-28}{12} = \frac{11}{12}\) cm
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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