Question 4:
Complete the hexagonal and star shaped rangolies (see the given figures) by filling
them with as many equilateral triangles of side 1 cm as you can. Count the number
of triangles in each case. Which has more triangles?
Answer:
It can be observed that hexagonal-shaped rangoli has 6 equilateral triangles in it.
Area of hexagonal-shaped rangoli
Area of a equilateral triangle having its side as 1 cm
Number of equilateral triangles of 1 cm side that can be filled in this hexagonal-shpated rangoli
Star-shaped rangoli has 12 equilateral triangles of side 5 cm in it.
Area of star-shaped rangoli
Number of equilateral triangles of 1 cm side that can be filled in this star-shaped rangoli
Therefore, star-shaped rangoli has more equilateral triangles in it.
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