Q. 44.2( 82 Votes )

# 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

=  x 25

= cm2

Area of hexagonal shaped rangoli = 6 x

= 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

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