Latest Infosys Aptitude Question SOLUTION: If the length of the rectangle is decreased by 4 and breath is increased by 3.then it becomes square whose areas are equal to that of rectangle. What is the perimeter of the origi

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If the length of the rectangle is decreased by 4 and breath is increased by 3.then it becomes square whose areas are equal to that of rectangle. What is the perimeter of the original rectangle…

Asked In Infosys sawan kumar (12 years ago)

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Punam Chakraborty  (10 years ago)

50
If 'L' be the length and 'B' be the breadth of the rectangle, then decreasing the length and increasing the breadth we get,
L=L-4; B=B+3
So, it became Square. L-4=B+3 or L-B=7.......(1)
Area of a Square= (L-4)^2= LxB or L^2 +16 -8L= LxB
or L^2-LxB +16 -8L=0 or L(L-B)+16 -8L=0
or L(7) +16 -8L=0.....from equtn (1)
or 7L-8L +16=0
or L= 16
then B=9
Perimeter of Rectangle 2(L+B)=50

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yamini  (12 years ago)

144..
by the given question we can form 2 eqs
let 'L' be the length n 'B' be the breadth
3L-4B=12
L-B=7
by solving we get L=16,B=9
so the perimeter is 16*9=144
(NOTE:we can also cross check..in the question it was given dat we length decreased by 4 and breadth increased by 3 then it forms a SQUARE
L=16-4=12 B=9+3=12)

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