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    Question

    Perimeter of a square is equal to perimeter of a

    rectangle, if area of square is 729 sq.cm and length of rectangle is two times that of breath. Find the area of rectangle.
    A 392 cm.sq Correct Answer Incorrect Answer
    B 648 cm.sq Correct Answer Incorrect Answer
    C 192 cm.sq. Correct Answer Incorrect Answer
    D 288 cm.sq Correct Answer Incorrect Answer

    Solution

    a² = 729 cm. sq. a = 27 cm According to question, => 4 × 27 = 2 (2b + b) => 54 = 3b => b = 18 cm So, l = 18 x 2 = 36 cm Area of rectangle = (36 × 18) = 648 cm. sq.

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