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    Question

    If the length of a rectangle becomes double and its

    breadth becomes three-fourth, then find the percentage increase in its area.
    A 45% Correct Answer Incorrect Answer
    B 50% Correct Answer Incorrect Answer
    C 35% Correct Answer Incorrect Answer
    D 75% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let length and breadth of the rectangle be ‘L’ cm and ‘B’ cm Initial area = (L × B) cm² Increased length and breadth = ‘2L’ cm and ‘3B/4’ cm Increased area = {2L × (3B/4)} = {(3 × L × B)/2} cm² Required percentage = {(1.5LB – LB)/LB} × 100 = 50%

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