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11.
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Let the width of rectangle = x cm
Length will be = (2x -5) cm
If length is decreased by 5 cm,
New length = (2x-5)-5 cm = (2x-10)cm
If the width is increased by 2 cm,
New width = (x+2) cm
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According to the question,
Perimeter of this new rectangle = 74cm
=> 2 (2x-10+x+2) = 74
=> 3x -8 = 74/2
=> 3x = 37 +8
=> x = 45/3
=> x = 15
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Hence,
Width = 15cm
Length = (2*15-5) = 25cm
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