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 = fraction numerator square root of 3 over denominator 4 end fraction a2
    = fraction numerator square root of 3 over denominator 4 end fraction 82  = 16 square root of 3square units
    Since there are 4 triangles, so area of four equilateral triangles
    = 4 cross times 16 square root of 3= 64square root of 3 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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