The area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units and bread...........

Quantitative Aptitude ( CCS) Mensuration 2D

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 the length by 3 units and breadth by 2 units, then the area is increased by 67 square units. Find the area of the rectangle?

144 m

162 m

149 m

153 m

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Explanation:

L*B – (L-5)(B+3) = 9
3L – 5B – 6 = 0 —(i)
(L+3)(B+2) – L*B = 67
2L + 3B -61 = 0 —(ii)
solving (i) and (ii)
L = 17 m
B = 9 m
Area of the Rectangle = 153 m