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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 45 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 Rs. 35,200 Correct Answer Incorrect Answer
    B Rs. 41,280 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, 250% of x = 45 x = 45 × 100/250 = 18 cm Perimeter of the rectangle = 2(length + width) = 2 × (45 + 18) = 126 cm Perimeter of the square = (126 + 10) = 136 cm The sides of the square = 136/4 = 34 cm The area of the square field without street = (34)2 sq. cm = 1156 sq. cm The area of the square field with street = (34 + 20)2 sq. cm = 2916 sq. cm The area of the street = 2916 – 1156 = 1760 sq. cm The total cost of constructing the street = 1760 × 20 = Rs. 35,200

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