# 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

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