Complete the hexagonal and star shaped Rangolies [see Fig. 7.53 (i) and (ii)] 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?
It can be observed that hexagonal-shaped rangoli has 6 equilateral triangles in it
Area of 
= 
(Side)2
= 
(5)2
= 
* 25
= 
cm2
Area of hexagonal shaped rangoli = 6 * 
= 
cm2
Area of equilateral triangle having its side as 1 cm = 
(1)2
= 
cm2
Number of equilateral triangle of 1 cm side that can be filed in this hexagonal shaped rangoli = 
= 150
Star shaped rangoli has 12 equilateral triangles of side 5 cm in it
Area of star shaped rangoli = 12 * 
* (5)2
= 75
Number of equilateral triangles of 1 cm side that can b e filled in this star shaped rangoli = 
= 300
Therefore, star shaped rangoli has more equilateral triangles in it