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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 = a^{2}

= 8^{2} = 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} = 8^{2} = 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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