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    Question

    The perimeter of a rectangle is 320 meters, and the

    difference between length and breadth is 80 meters. Find the area of the rectangle.
    A 1500 m² Correct Answer Incorrect Answer
    B 3200 m² Correct Answer Incorrect Answer
    C 1400 m² Correct Answer Incorrect Answer
    D 4800 m² Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    2(L + B) = 320 So L+ B = 160 m ------(1) & L - B = 80 m ------(2) Adding both equations ; So 2L = 240 So L = 120 m & B = 40 m The area of rectangle = L × B = 120 × 40 = 4800 m 2 Alternate Method: (L + B) 2 - (L - B) 2 = 4LB So 160 2 - 80 2 = 4LB So (160 + 80) (160 - 80) = 4LB So LB = 240 `xx` 80/4 = 4800 m2

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