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    Question

    The perimeter of a square field is 18 cm more than the

    perimeter of a rectangle. The length of the rectangle is 77 cm which is 350% 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. 26 per sq. cm?
    A Rs. 66,560 Correct Answer Incorrect Answer
    B Rs. 60,000 Correct Answer Incorrect Answer
    C Rs. 49,600 Correct Answer Incorrect Answer
    D Rs. 37,600 Correct Answer Incorrect Answer
    E Rs. 53,000 Correct Answer Incorrect Answer

    Solution

    Let the width of the rectangle = x cm Then, 350% of x = 77 x = 77 × 100/350 = 22 cm Perimeter of the rectangle = 2(length + width) = 2 × (77 + 22) = 198 cm Perimeter of the square = (198 + 18) = 216 cm The sides of the square = 216/4 = 54 cm The area of the square field without street = (54)2 sq. cm = 2916 sq. cm The area of the square field with street = (54 + 20)2 sq. cm = 5476 sq. cm The area of the street = 5476 – 2916 = 2560 sq. cm The total cost of constructing the street = 2560 × 26 = Rs. 66,560

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