Area of a regular hexagon with a 48-inch perimeter.
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Answered by
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Regular hexagon :-
1. All sides are equal
2. Can be divided into 6 equilateral triangles.
3. so area is equal to area of 6 equilateral triangles.
one side of a single equilateral triangle = 48/6 = 8 inches
since it is equilateral all other sides of trianglesare also 8 inches.
Area of an equilateral triangle =
so, area of single equilateral triangle = 16√3 SQUARE INCHES
Area of all triangles = Area of hexagon = 6*16√3 = 96√3 SQUARE INCHES.
if any mistakes kindly let me know.
1. All sides are equal
2. Can be divided into 6 equilateral triangles.
3. so area is equal to area of 6 equilateral triangles.
one side of a single equilateral triangle = 48/6 = 8 inches
since it is equilateral all other sides of trianglesare also 8 inches.
Area of an equilateral triangle =
so, area of single equilateral triangle = 16√3 SQUARE INCHES
Area of all triangles = Area of hexagon = 6*16√3 = 96√3 SQUARE INCHES.
if any mistakes kindly let me know.
Answered by
2
Answer:96\sqrt3
Step-by-step explanation:
thats the anwser
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