Question

The cost of levelling a rectangular field at the rate of 85 paise per square metre is Rs 624.75. Find the perimeter of the field if its sides are in the ratio 5:3.

Answer 1

Answer on Question #43915-Math-Geometry

The cost of levelling a rectangular field at the rate of 85 paise per square meter is Rs 624.75. Find the perimeter of the field if its sides are in the ratio 5:3.

Solution

Let sides are $5x$ and $3x$.

85 paise per square meter is $\frac{85}{10000}$ paise per square centimeter.

The cost of leveling is

$$5x \cdot 3x \cdot \frac{85}{10000} = 624.75 \rightarrow x = 70 \text{ cm}.$$

Perimeter is

$$2(5x + 3x) = 2(350 + 210) = 1120 \text{ cm} = 11.2 \text{ m}.$$

Answer: 11.2 m.

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