Maths-
General
Easy
Question
A star is made up of 4 equilateral triangles and a square. If the sides of the triangles are 8 units, what is the surface area of the star ?
Hint:
The correct answer is: 174.85 sq. units
It is given that side of equilateral triangle = 8 units
Area of equilateral triangle = 
a2
= 82 = 16 
square units
Since there are 4 triangles, so area of four equilateral triangles
= 4 
16 = 64 sq. units
= 110.85 sq. units
In the figure, length of the side of square = 8 units
Now, Area of square = (side)2 = 82 = 64 sq. units
Surface Area of the star
= Area of 4 equilateral triangles + Area of the square
= 110.85 + 64 = 174.85 sq. units
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