Each side of a rectangle is increased by 100% .By what percentage does the…
20252023
Each side of a rectangle is increased by 100% .By what percentage does the area increase?
- A.
100%
- B.
300%
- C.
400 %
- D.
Impossible to Calculate
Attempted by 1 students.
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Correct answer: B
Let the original length be L and the original breadth be B.
Original area = L × B.
Increasing each side by 100% means each dimension doubles:
New length = 2L
New breadth = 2B
New area = (2L) × (2B) = 4LB = 4 × (original area).
Percentage increase = ((new area − original area) / original area) × 100%.
Percentage increase = ((4A − A) / A) × 100% = (3A / A) × 100% = 300%.
Therefore, the area increases by 300%.