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    Question

    The perimeter of a square field is 6 cm more than the perimeter of a rectangle. The length of the rectangle is 63 cm which is 175% 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. 22 per sq. cm?

    A Rs. 35,200 Correct Answer Incorrect Answer
    B Rs. 45,000 Correct Answer Incorrect Answer
    C Rs. 34,000 Correct Answer Incorrect Answer
    D Rs. 53,680 Correct Answer Incorrect Answer

    Solution

    Let the width of the rectangle = x cm Then, 175% of x = 63 x = 63 × 100/175 = 36 cm Perimeter of the rectangle = 2(length + width) = 2 × (63 + 36) = 198 cm Perimeter of the square = (198 + 36) = 204 cm The sides of the square = 204/4 = 51 cm The area of the square field without street = (51)2 sq. cm = 2601 sq. cm The area of the square field with street = (51 + 20)2 sq. cm = 5041 sq. cm The area of the street = 5041 – 2601 = 2440 sq. cm The total cost of constructing the street = 2440 × 22 = Rs. 53,680

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