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The area of rectangle is 297 sq cm if its length is increased by 3 cm and width decreases by 1 cm its area increased by 3 cm sq. Find the length and width of rectangle:

0
A) 10cm and 35 cm
B) 13 cm and 28 cm
C) None of these
D) 11 cm and 27 cm

Correct Answer: D) 11 cm and 27 cm

Solution: Let length = L, width = W. Area imes W = 297$. Checking option B: $27 imes 11 = 297$. Apply condition 2: Length $+ 3 = 30$, Width $- 1 = 10$. New Area = $30 imes 10 = 300$. Increase in area = $300 - 297 = 3$ sq cm. Option B satisfies all conditions.

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