Question 6:
1. How many equilateral triangles of side 10 m are there in the hexagonal plot?
A. 2
B. 4
C. 6
D. 8
. 2. What is the area of the hexagonal shaped plot?
A. 100√3 m2
B. 150√3 m2
C. 200√3 m2
D. 250√3 m2
Q 3. If each side of equilateral triangular shaped tile is 2 m, then what is the area of each tile?
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
Answers
Given : A hexagon plot of 10 m side
To Find : how many equilateral triangle of side 10m are there in hexagonal plot
A. 2
B. 4
C. 6
D. 8
Solution:
Hexagon has 6 sides
Hence central Angle = 360°/6 = 60°
Hence 6 triangles are formed
Base of Each triangle = Side of Hexagon plot = 10 m
Central Angle = 60°
Two sides of triangle = Radius of Circumcircle of Hexagon plot
Hence remaining two angles are equal
Hence remaining two angles = 60°
So Each triangle is Equilateral
Hence there are 6 equilateral triangle of side 10m in hexagonal plot
option C is correct
area of the hexagonal shaped plot = 6 * (√3 / 4) * 10² = 150√3 m²
option B is correct
each side of equilateral triangular shaped tile is 2 m, then the area of each tile = (√3 / 4) * 2² = √3
Area of Each Tile = √3 m²
Number of tiles required = 150√3 /√3 = 150
option A is correct
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Given : A hexagon plot of 10 m side
To Find : how many equilateral triangle of side 10m are there in hexagonal plot
A. 2
B. 4
C. 6
D. 8
Solution:
Hexagon has 6 sides
Hence central Angle = 360°/6 = 60°
Hence 6 triangles are formed
Base of Each triangle = Side of Hexagon plot = 10 m
Central Angle = 60°
Two sides of triangle = Radius of Circumcircle of Hexagon plot
Hence remaining two angles are equal
Hence remaining two angles = 60°
So Each triangle is Equilateral
Hence there are 6 equilateral triangle of side 10m in hexagonal plot
option C is correct
area of the hexagonal shaped plot = 6 * (√3 / 4) * 10² = 150√3 m²
option B is correct
each side of equilateral triangular shaped tile is 2 m, then the area of each tile = (√3 / 4) * 2² = √3
Area of Each Tile = √3 m²
Number of tiles required = 150√3 /√3 = 150
option A is correct