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    Question

    The length of a rectangle is four times its breadth. If

    its length is increased by 10 cm. and breadth is increased by 10 cm, the area of the rectangle is increased by 600 sq. cm. Find the length of the rectangle.
    A 40 cm. Correct Answer Incorrect Answer
    B 28 cm. Correct Answer Incorrect Answer
    C 20 cm. Correct Answer Incorrect Answer
    D 48 cm. Correct Answer Incorrect Answer

    Solution

    Let b = x and l = 4 x ∴ Original area = L x B = 4 x × x = 4x² Now, New Area = ( 4 x +10 ) x (x +10) ∴ (4x +10 ) × (x +10) - 4x² = 600 ⇒50x = 600 – 100 ⇒ x =10 ∴ l = 4 × 10 = 40cm

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