Multiple choice

Directions: The following question consists of two quantities, Quantity I and Quantity II. You are to compare the two quantities and find the correct relationship between both the quantities. Quantity I: Area of a rectangle which is equal to the area of a square of side 22 cm Quantity II: Area of a rectangle whose perimeter is 80 cm and the ratio of length to width is 3 : 2

  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 no any relation
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Quantity I: Area = 22 * 22 = 484. Quantity II: Perimeter = 2(L+W) = 80, L+W = 40. L:W = 3:2, so L=24, W=16. Area = 24 * 16 = 384. 484 > 384.

AI explanation

Quantity I is found using the square area formula, 22 multiplied by 22, which gives 484 square cm. For Quantity II, using the rectangle perimeter formula where twice the sum of length and width equals 80, the sum of length and width is 40 cm. Applying the 3 to 2 ratio gives a length of 24 cm and a width of 16 cm, so the rectangle area is 24 multiplied by 16, which equals 384 square cm. Therefore, Quantity I is greater than Quantity II.

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