📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    When both length and breadth of a rectangle are

    increased by 3 m, the area rises by 189 m². The ratio of perimeters (square : rectangle) is 5:6. Find the side of the square.
    A 12 m Correct Answer Incorrect Answer
    B 14 m Correct Answer Incorrect Answer
    C 25 m Correct Answer Incorrect Answer
    D 28 m Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let length = x m, breadth = y m (x + 3)(y + 3) – xy = 189 ⇒ 3x + 3y + 9 = 189 ⇒ 3x + 3y = 180 ⇒ x + y = 60 Perimeter of rectangle = 2(x + y) = 120 m Perimeter of square = (5/6) × 120 = 100 m Side of square = 100 ÷ 4 = 25 m

    Practice Next
    More Mensuration Questions