A hall's length is (4/3) times its width. If the total area of the hall is 300 square meters, what is the difference between its length and width?
Explanation
Let the width be x meters. Then the length is (4/3) x meters. The area is given by width × length = x × (4/3)x = 300. This simplifies to (4/3) x² = 300, so x² = 300 × (3/4) = 225, and x = 15 meters. The difference between length and width is (4/3)x - x = (1/3)x = (1/3) × 15 = 5 meters. Since 5 meters is not among the options, the correct choice is 'None of the above'.