The length and breadth of a rectangular field are in the I ratio 4 : 3. If the cost of cultivating the field at Rs. 5 per sq. metre is Rs.6000. Find the dimensions of the field.
Correct Answer: Description for Correct answer:
The cost of cultivating the land is Rs.6000/- at Rs. 5 per sq. m.
Area of the land = \( \Large \frac{6000}{5} \) = 1200 sq. m.
Let. the length be 4x mts.
Let the breadth be 3x.
Area of the land = \( \Large 4x \times 3x = 12x^{2} \)
\( \Large 12x^{2} = 1200 \)
\( \Large x^{2} = 100 \)
\( \Large x = 10 \)
Length =\( \Large 4 \times 10 \) = 40 mts.
Breadth =\( \Large 3 \times 10 \)= 30 mts.
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