Question

Q 4. What is the number of equilateral
triangular tiles of side 2 m that is required to fill
the hexagonal plot?
A. 150
B. 200
C. 250
D. 300​

Answer 1

what are the dimensions of hexagonal plot??

Answer 2

Given : A hexagonal plot of side = 10 m  

To Find :  number of equilateral  triangular tiles of side 2 m that is required to fill  the hexagonal plot

Solution:

Area of   equilateral  triangular  = ( √3 / 4) Side²

equilateral  triangular tiles of side 2 m

Area of tile =   ( √3 / 4) 2²  = √3 m²

Area of Hexagonal = 6 *  ( √3 / 4) Side²

= 6 *  ( √3 / 4) 10²

= 150√3 m²

number of equilateral  triangular tiles of side 2 m required = 150√3 / √3

= 150

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