Geometry Puzzle – Challenge 72

Sharing fun math puzzles like the following one with your kids is a great way to get them thinking mathematically.

Geometry Puzzle – Challenge 72

Challenge:

The length of a rectangle is three times its width. What is the ratio of its width to its perimeter?

A- 1 : 4

B- 1 : 6

C- 1 : 8

D- 2 : 9

E- 3 : 10

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The correct answer is C.

Let x be the width of the rectangle. So, the length of the rectangle is 3x.
Perimeter of a rectangle = 2 × Width + 2 × Length =
2x + 2 (3x) = 8x
The ratio of its width to its perimeter is 1 to 8.

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Math and Critical Thinking Challenges: For the Middle and High School Student