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.
- 13 cm and 28 cm
- 10 cm and 35 cm
- 11 cm and 27 cm
- 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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