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The area of a rectangle is 297 sq. cm if its length is increased by 3 cm and width decreases by 1 cm its area increases by 3 cm. sq. Find the length and width of the rectangle.
  1. 13 cm and 28 cm
  2. 10 cm and 35 cm
  3. 11 cm and 27 cm
  4. None of these
Explanation

lw = 297 ... (1)

(l+3)(w-1) = 297 + 3

lw - l + 3w - 3 = 300

297 - l + 3w = 303

-l + 3w = 6 ... (2)

From (1), l = 297/w

Substitute in (2):

-297/w + 3w = 6

3w² - 6w - 297 = 0

w² - 2w - 99 = 0

(w-11)(w+9) = 0

w = 11

l = 297/11 = 27


Last verified on 18-01-2026

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