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(1) 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
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Answer:
( 344 , 205 )
Step-by-step explanation:
original area A = LB
( L -5 ) ( B + 3 ) = LB - 8 = LB + 3L - 5B -15
( L -3 ) ( B + 2 ) = LB +67 = LB + 2L - 3B - 6
3L - 5B = 7
2L - 3B = 73
9L - 15B = 21
10L - 15B = 365
L = 344 ,
3B = 2L -73 = 688 -73 = 615
B = 205
(L , B ) = ( 344 , 205 )
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