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

Answer: (A)

Rs 87.50

Answer 2

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