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# 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.

 A) 12 m, 10 m. B) 24 m. 10 m. C) 40 m. 30 m. D) 16 m. 10 m.

 C) 40 m. 30 m.

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.

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.

Part of solved Area and perimeter questions and answers : >> Elementary Mathematics >> Area and perimeter

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