The area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units and breadth is increased by 3...
Type: MCQ • Marks: 1
The area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units and breadth is increased by 3 units. If we increase length by 3 units and breadth by 2 units, area increases by 67 square units. Find the length of the rectangle.
Options
A. 17 units
B. 15 units
C. 9 units
D. 12 units
Explanation
Let length be x and breadth be y. (x - 5)(y + 3) = xy - 9 => 3x - 5y = 6. Also (x + 3)(y + 2) = xy + 67 => 2x + 3y = 61. Solving gives x = 17, y = 9.
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