A) 539.712 \[c{{m}^{2}}\]
B) 538.721 \[c{{m}^{2}}\]
C) 540.712 \[c{{m}^{2}}\]
D) 539.217 \[c{{m}^{2}}\]
Correct Answer: A
Solution :
(a): Area of paper = Area of square + Area of equilateral triangle \[=\frac{1}{2}{{\left( diagonal \right)}^{2}}+\frac{\sqrt{3}}{4}\times {{\left( side \right)}^{2}}\] \[=\frac{1}{2}\times 32\times 32+\frac{\sqrt{3}}{4}\times 8\times 8\] \[512+16\times 1.732\] \[512+27.712=539.712\]\[c{{m}^{2}}\]
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