Length of a rectangle is 6 …
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Rupender Singh 8 years, 7 months ago
Let the original Breadth of rectanlge be = x cm
and the original Length of rectangle be = (x + 6) cm
Therefore, Original Area = Length × Breadth = (x + 6) × x = x2 + 6x
Now, New Length = (x + 6) - 3 = x + 6 - 3 = x + 3
New Breadth = x - 3
Therefore, New Area = Length × Breadth = (x + 3) × (x - 3) = (x)2 - (3)2 = x2 - 9
According to Question
Original Area - New Area = 36 sq cm.
(x2 + 6x) - (x2 - 9) = 36
x2 + 6x - x2 + 9 = 36
6x + 9 = 36
6x = 36 - 9
6x = 27
x = {tex}{27\over6} = {9\over2}{/tex}
Hence, Original Length of Rectangle = x + 6 = {tex}{9\over 2} + 6 = {9 + 12\over 2} = {21\over 2} = 10.5{/tex}cm
Original Breadht of Rectangle = x = {tex}{9\over 2} = 4.5{/tex} cm
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