A) \[2886\,{{m}^{2}}\]
B) \[2196\,{{m}^{2}}\]
C) \[3228\,{{m}^{2}}\]
D) \[2500\,{{m}^{2}}\]
Correct Answer: A
Solution :
Using the formula, Area of quadrilateral \[=\sqrt{(S-a)\,(S-b)\,(S-c)\,(S-d)}\] where\[a=36m,\]\[b=77\,m,\]\[c=75\,m,\]\[d=40\,m\] and\[S=\frac{a+b+c+d}{2}=\frac{36+77+75+40}{2}\] \[=114\] Hence, area of quadrilateral \[=\sqrt{(114-36)(114-77)(114-75)(114-40)}{{m}^{2}}\] \[=\sqrt{78\times 37\times 39\times 74}{{m}^{2}}\] \[=37\times 39\times 2\,{{m}^{2}}\] \[=2886\,{{m}^{2}}\]
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