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    Question

    The breadth of a rectangle is increased by 10 cm, it

    will become twice the length of the rectangle. If the new perimeter is 336 cm, then find the original area (in sq.cm) of the rectangle.
    A 5712 sq.cm Correct Answer Incorrect Answer
    B 2444 sq.cm Correct Answer Incorrect Answer
    C 3021 sq.cm Correct Answer Incorrect Answer
    D 2958 sq.cm Correct Answer Incorrect Answer
    E 3127 sq.cm Correct Answer Incorrect Answer

    Solution

    ATQ, Increase in breadth equation: B+10=2L New perimeter equation: 2(L+B+10) = 336,Simplifies to [L+B=158] Solving these equations: From equation 1, B=2L−10 Substituting B in equation 2, L+(2L−10)= 158 Simplifying,3L=168, So,L=56cm Substitute L back into B=2L−10,  B=2(56)–10 = 102 cm Original area calculation: Area = L×B = 56 × 102 = 5712 sq.cm

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