A rectangle has the same area as another, whose length is 6 m more and breadth
154 m less. It has also the same area as the third, whose length is 8 m more and
breadth 5 m less. Find the length and breadth of the original rectangle.
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... length is 6 m more and breadth 154 m less. It has also the same area as the third, whose length is 8 m more and breadth 5 m less. Find the length and breadth of the original rectangle.
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Answer
L× B = (L + 6)× (B -4) = (L + 8)× (B -5) Eq ( 1 )
L× B = (L + 6)× (B -4)
LB = LB - 4L + 6B - 24
4L - 6B = - 24 Eq ( 2 )
L× B = (L + 8)× (B -5)
LB = LB - 5L + 8B - 40
5L - 8B = - 40 Eq ( 3 )
L = 24 m
B = 20 m
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