A rectangle’s area is 297 sq.cm. If length increases by 3 cm and width decreases by 1 cm; the area increases by 3 sq.cm. What are its dimensions?

For a rectangle with area 297 cm² (L × W = 297); if length increases by 3 cm and width decreases by 1 cm; the new area is 300 cm². Solving (L+3)(W-1) = 300 and LW = 297 gives length = 11 cm; width = 27 cm. Other pairs don’t fit. This tests algebraic modeling; key for geometry and problem-solving.