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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 three times that of breath. Find the area of rectangle.
    A 432 cm.sq Correct Answer Incorrect Answer
    B 256 cm.sq Correct Answer Incorrect Answer
    C 196 cm.sq. Correct Answer Incorrect Answer
    D 288 cm.sq Correct Answer Incorrect Answer
    E 200 cm.sq Correct Answer Incorrect Answer

    Solution

    aΒ² = 729 cm. sq. a = 27 cm According to question, => 4 Γ— 27 = 3 (2b + b) => 36 = 3b => b = 12 cm So, l = 12 x 3 = 36 cm Area of rectangle = (36 Γ— 12) = 432 cm. sq.

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