A) \[196\,\,{{m}^{2}}\]
B) \[194\,\,{{m}^{2}}\]
C) \[169\,\,{{m}^{2}}\]
D) \[167\,\,{{m}^{2}}\]
Correct Answer: A
Solution :
Area of EFGH \[=(x+2.5\,\,m+2.5\,\,m)\times (x+2.5\,\,m+2.5\,\,m)\] \[={{(x+5\,\,m)}^{2}}\] Area of\[ABCD={{x}^{2}}\] \[\therefore \]Area of path \[={{(x+5\,\,m)}^{2}}-{{x}^{2}}={{x}^{2}}+25\,\,{{m}^{2}}+10x-{{x}^{2}}=165\,\,{{m}^{2}}\] \[10x=165\,\,m-25\,\,m\] \[10x=140\,\,m\] \[x=14\,\,m\] Area of lawn \[={{x}^{2}}={{(14\,\,m)}^{2}}=196\,\,{{m}^{2}}\]You need to login to perform this action.
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