Teacher Notes
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TIMS Task
This DPP item can be used as a Problem of the Week.
Possible solutions:
Solution 1: Since each triangle is the same I divided 36 by 4 and found that each triangle has a perimeter of 9 cm (36 ÷ 4 = 9). Then I divided 9 by 3 and found that each side is 3 cm.
Solution 2: I counted the sides. The ant walked along 12 sides. What number times 12 is equal to 36? If each side is 2 cm, the ant walked 24 cm. If each side is 3 cm, the ant walked 36 cm. Each side of the triangles is 3 cm.
Solution 3: I used my centimeter ruler to measure one of the sides. The side was 3 cm long. Since the triangles are all the same, all the sides will have to be 3 cm long.
D. Walking around Shapes
A bug walked all the way around this figure so that it ended up where it started. The distance it walked is 36 centimeters. The figure is made of four identical equilateral triangles. How long is every side of each triangle? Solve the problem two ways to be sure you are right. On a separate page, explain how you found both your answers.
