A) 900 m and 300 m
B) 600 m and 300 m
C) 500 m and 200 m
D) None of these
Correct Answer: A
Solution :
| Area of the triangular field \[\text{=}\frac{\text{Total}\,\,\text{cost}}{\text{Rate}}\] |
| \[=\frac{675}{50}=13.5\] hectares |
| \[=(13.5\times 1000){{m}^{2}}=135000\,\,{{\text{m}}^{2}}\] |
| Let altitude be x m. Then, according to question base \[=3x\,\,\text{m}\] |
| Again area of the field \[=\frac{1}{2}\times \]base\[\times \]altitude \[=\frac{1}{2}\times 3x\times x\] |
| \[\Rightarrow \] \[\frac{3{{x}^{2}}}{2}=135000\] |
| \[\therefore \] \[{{x}^{2}}=\frac{135000\times 2}{3}=90000\]\[\Rightarrow \]\[x=300\] |
| \[\therefore \] Base \[=3\times 3\times 300=900\,\,\text{m}\] and altitude \[=x=300\,\,\text{m}\] |
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