Math Forum - Problem of the Week


Tangrams have been a popular puzzle with all ages for a long time. A set consists of one small square, one parallelogram, and triangles of three different sizes. All seven pieces can fit together to form a large square.

You can use this applet to help you answer these questions.

  1. Suppose the small triangle costs 5, based on its area. How much would each of the other pieces cost?
  2. How many of the small triangles would it take to cover the large square?
  3. What would the value of the complete set be?
  4. What fraction of the area of the large square is each kind of piece?
  5. What percent of the total area of the large square is made up of triangles?

Explain how you found your answers.

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