The length and the breadth of a rectangular table are increased by 1 m each and due to this the area...........

Quantitative Aptitude ( CCS) Mensuration 2D

The length and the breadth of a rectangular table are increased by 1 m each and due to this the area of the table increased by 27 sq. m. But if the length is increased by 1 m and breadth decreased by 1 m, area is decreased by 7 sq. m. Find the perimeter of the table.

45m

52m

60m

72m

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Explanation:

Let original length = l, breadth = b, so area = lb
When l and b increased by 1:
(l+1)(b+1) = lb + 27
Solve, l + b = 26
When l increased by 1, b decreased by 1:
(l+1)(b-1) = lb – 7
Solve, l – b = 6
Now solve both equations, l = 16, b = 10
Perimeter = 2(16+10)=52m