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    Question

    The perimeter of a square field is 16 cm more than the perimeter of a rectangle. The length of the rectangle is 24 cm which is 150% 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. 25 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, 150% of x = 24 x = 24 × 100/150 = 16 cm Perimeter of the rectangle = 2(length + width) = 2 × (24 + 16) = 80 cm Perimeter of the square = (80 + 16) = 96 cm The sides of the square = 96/4 = 24 cm The area of the square field without street = (24)2 sq. cm = 576 sq. cm The area of the square field with street = (24 + 20)2 sq. cm = 1936 sq. cm The area of the street = 1936 – 576 = 1360 sq. cm The total cost of constructing the street = 1360 × 25 = Rs. 34,000

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