Multiple choice

A rectangular park was redesigned and as a result of which, its length increased by 50%. If the area of the park remained unchanged, then by how much percentage had the breadth been reduced?

  1. 25

  2. 50

  3. 33.33

  4. 40.33
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Area = L * B. New L = 1.5L. New B = Area / 1.5L = (L*B) / 1.5L = B / 1.5 = 2/3 B. Reduction = B - 2/3 B = 1/3 B. Percentage reduction = (1/3) * 100 = 33.33%.

AI explanation

Let the original length and breadth be L and B, so the original area is L x B. The new length is 1.5L, and to keep the area unchanged, the new breadth must be B / 1.5 to satisfy 1.5L x (B / 1.5) = L x B. The reduction in breadth is B - (B / 1.5) = B / 3, which as a percentage is (1 / 3) x 100, equaling 33.33%.

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