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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