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Maths · Quadratic equations in real and complex number systems and their solutions

The produce of a square field when sold at the rate of Rs. 1.50 per 100 sq. metr

The produce of a square field when sold at the rate of Rs. 1.50 per 100 sq. metres fetches Rs. \( 1350 . \) What will be the cost of putting a fence all round the field at the rate of 50 paise per metre?

  • A. Rs. 549
  • B. Rs. 575
  • C. Rs. 675
  • D. Rs. 600

Step-by-step solution

Let the area of the square field be A sq. m. The rate is Rs. 1.50 per 100 sq. m, so total produce value = (1.50/100) * A = 1350 => A = (1350 * 100) / 1.50 = 90000 sq. m. Since the field is square, side = sqrt(90000) = 300 m. Perimeter = 4 * 300 = 1200 m. Cost of fencing at 50 paise per m = 1200 * 0.5 = Rs. 600.
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