Multiple choice

If the length of a rectangle is tripled and the breadth is doubled, then by what percent will its area increase?

  1. 200%

  2. 300%

  3. 500%

  4. 800%

  5. 700%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let original length be L and breadth be B. Original area = LB. New length = 3L, new breadth = 2B. New area = 6LB. The increase is 5LB, which is 500% of the original area.

AI explanation

The area of a rectangle is the product of its length and breadth. If the original area is L * B, the new area after tripling the length and doubling the breadth becomes (3 * L) * (2 * B) = 6 * L * B, which is 6 times the original area. The increase is 6 - 1 = 5 times the original area, so the percentage increase is 5 * 100 = 500%.

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