A) \[616\,{{m}^{2}}\]
B) \[294\,{{m}^{2}}\]
C) \[381\,{{m}^{2}}\]
D) \[458\,{{m}^{2}}\]
Correct Answer: B
Solution :
| Area of the garden bed where grass is grown = Area of two semi-circular ends + Area of rectangular bed - Area of central circular region. |
| Length of rectangular bed \[=35-2\times \]Radius of circular semi-end |
| \[=35-2\times 7=34-14=21m\] and breadth \[=14m\]. |
| \[\therefore \] Required area \[=2\times \frac{1}{2}\times \pi {{r}^{2}}+l\times b-\pi {{r}^{2}}\] |
| \[=l\times b=21\times 14=294{{m}^{2}}\] |
| So, option [b] is correct. |
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