Question

The sides of a rectangular field are in the ratio 3 : 4 with its area as 7500 sq m.The cost of fencing the field @ 25-paise per metre is

• A. Rs 87.50
• B. Rs 86.50
• C. Rs 67.50
• D. Rs 55.50

Answer 1

The Correct Option is A

Assume the sides of rectangular field be \(3x\) and \(4x\) m

Area of rectangle = \(l × b\) = 7500

= \(3x × 4x = 7500\)

\(x^2 = \frac{7500}{12}\) = 625

\(x = \sqrt{625}\)

\(x = 25\)

> Perimeter of field = 2(\(3x + 4x\)) = \(14x\)

Here \(x = 25\), so,

14 × 25 = 350 \(m\)

The Cost of fencing = 350 × 0.25 = \(Rs.\) 87.50\(\)

The correct option is (A): 87.50