Complete the hexagonal and star shaped Rangolies

It can be observed that hexagonal-shaped rangoli has 6 equilateral triangles in it

Area of ΔAOB = √3/4(Side)²

 =  √3/4(5)²

 = √3/4* 25

 = 25*√3/4cm²

Area of hexagonal shaped rangoli = 6 *  25*√3/4

 =  75*√3/4cm²

Area of equilateral triangle having its side as 1 cm = √3/4(1)²

= √3/4cm²

Number of equilateral triangle of 1 cm side that can be filed in this hexagonal shaped rangoli = 75√3/4/√3/4 = 150

Star shaped rangoli has 12 equilateral triangles of side 5 cm in it

Area of star shaped rangoli = 12 * √3/4* (5)²

 = 75√3

Number of equilateral triangles of 1 cm side that can b e filled in this star shaped rangoli = 75*√3/√3/4

 = 300