A rectangular field has dimensions of 30 m by 24 m. Two mutually perpendicular passages of 2.5 m width have been left in its central part and grass has been grown in rest of the field. The area under the grass is |
A) \[586.25\,\,{{m}^{2}}\]
B) \[572.75\,\,{{m}^{2}}\]
C) \[591.25\,\,{{m}^{2}}\]
D) \[563.75\,\,{{m}^{2}}\]
Correct Answer: C
Solution :
Area of rectangular field \[=30\times 24=720\,\,{{m}^{2}}\] |
Area under the grass = Area of field without passages |
\[=720-[2.5\times 30+2.5\times 24-2.5\times 2.5]\] |
\[=720-[75+60-6.25]\] |
\[=720-128.75=591.25\,\,{{m}^{2}}.\] |
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