area of square formed on diagonal of a rectangle as its side is 108 1/3% more than the area of rectangle .if the perimeter of rect

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1. Answer:

   l-b=8-6=2

   Step-by-step explanation:

   Let the sides of the rectangle be l and b respectively.

   From the given data,

   (√l2 + b2) = (1 + 108 1/3 %)lb

   => l2 + b2 = (1 + 325/3 * 1/100)lb

   = (1 + 13/12)lb

   = 25/12 lb

   => (l2 + b2)/lb = 25/12

   12(l2 + b2) = 25lb

   Adding 24lb on both sides

   12l2 + 12b2 + 24lb = 49lb

   12(l2 + b2 + 2lb) = 49lb

   but 2(l + b) = 28 => l + b = 14

   12(l + b)2 = 49lb

   => 12(14)2 = 49lb

   => lb = 48

   Since l + b = 14, l = 8 and b = 6

   l – b = 8 – 6 = 2m.

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