Question : A kite in the shape of a square with a diagonal 32 cm attached to an equilateral triangle of the base 8 cm. Approximately how much paper has been used to make it?(Use $\sqrt3$ = 1.732)
Option 1: 539.712 cm2
Option 2: 538.721 cm2
Option 3: 540.712 cm2
Option 4: 539.217 cm2
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Correct Answer: 539.712 cm 2
Solution :
Area of the square = $\frac{1}{2}$ × (diagonal) 2 = $\frac{1}{2}×32^2$ = $512$ cm 2 Area of the equilateral triangle = $\frac{\sqrt3}{4}$×(side) 2 = $\frac{\sqrt3}{4}×8^2$ = $16\sqrt3$ cm 2 Total area = $512$ + $16\sqrt3$ = 512 + 27.712 = 539.712 cm 2 Hence, the correct answer is 539.712 cm 2 .
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