Multiple choice

In the following questions, two equations Quantity I and Quantity II are given. You have to solve both the equations and give answer. \text{Quantity I:} The area of the rectangle is equal to the area of the square whose side is 24 cm. \text{Quantity II:} The perimeter of the rectangle is 88cm, if the ratio of the length and the breadth of the rectangle is 6 : 5 then the area of rectangle is ?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or the relation cannot be established
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A Correct answer
Explanation

Quantity I: Area of square = side^2 = 24^2 = 576 sq cm. Quantity II: Let length = 6x, breadth = 5x. Perimeter = 2(6x + 5x) = 22x = 88, so x = 4. Area = (6*4) × (5*4) = 24 × 20 = 480 sq cm. Since 576 > 480, Quantity I > Quantity II.

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