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      Question

      The perimeter of a square field is 10 cm more than the

      perimeter of a rectangle. The length of the rectangle is 55 cm which is 250% of its width. If a street of width 10 cm surrounds from outside the square, then find the total cost of constructing the street at the rate of Rs. 20 per sq. cm?
      A 24600Rs Correct Answer Incorrect Answer
      B 40800Rs Correct Answer Incorrect Answer
      C 36213Rs Correct Answer Incorrect Answer
      D 18540Rs Correct Answer Incorrect Answer

      Solution

      Let the width of the rectangle = x cm Then, 250% of x = 55 x = 55 × 100/250 = 22 cm Perimeter of the rectangle = 2 (length + width) = 2 × (55 + 22) = 154 cm Perimeter of the square = (154 + 10) = 164 cm The sides of the square = 164/4 = 41 cm The area of the square field without street = (41)2 sq. cm = 1681 sq. cm   The area of the square field with street = (41 + 20)2 sq. cm = 3721 sq. cm The area of the street = 3721 – 1681 = 2040 sq. cm The total cost of constructing the street = 2040 × 20 = Rs. 40800

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