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    Question

    A rectangle has an area 30 cm 2 and perimeter 26 cm. its

    length (in cm) is
    A 8 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 6 Correct Answer Incorrect Answer
    D More than one of the above Correct Answer Incorrect Answer
    E None of the above Correct Answer Incorrect Answer

    Solution

    ATQ, Given: Area = 30 cm² → l×b=30 Perimeter = 26 cm → 2(l+b)=26 → l+b=13 Express b in terms of b=13−l Substitute in the Area Formula l×(13−l)=30 l² −13l+30=0 Solve for I (l−10)(l−3)=0 So, l=10 or l=3. Since length is greater than breadth, length = 10 cm.

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