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Maharashtra Class 9 Answered

If the length of a rectangle is reduced by 5 units and its breadth is increased by 3 units, then the area of the rectangle is reduced by 8 square units. If length is reduced by 3 units and breadth is increased by 2 units ,then the area of rectangle will increase by 67 square units. Then find the length and breadth of the rectangle 
Asked by Anandpillai96 | 18 Feb, 2019, 10:04: PM
answered-by-expert Expert Answer
Let l be the length and b be the breadth
 
Given :  (l-5)(b+3) = l×b-8  , this is simplified as,   3l - 5b = 7 .........................(1)
 
Given: (l-3)(b+2) = lb+67,  this is simplified as,  2l-3b = 73 .............................(2)
 
By solving (1) and (2), we get l = 344 and b = 205
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