6. If a rectangular piece of dimensions 3 cm X 2 cm is cut from one corner of a rectangular sheet of dimensions 10 cmx6 cm and attached to its side projecting out of the rectangle, what will be the change in perimeter of the new shape thus formed?
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The original rectangle of sides 10 cm and 6 cm has a perimeter = 2(10+6) = 32 cm.
By cutting a rectangular piece of 3 cm x 2 cm the perimeter becomes 10+6+7+4 = 27 cm.
Case 1: By attaching the 3 cm x 2 cm piece to one side of the rectangle such that the 3 cm side is attached to the rectangle, the new perimeter = 27+2+3+2 = 34 cm.
In this case the perimeter increases by 2 cm,
Case 2: By attaching the 3 cm x 2 cm piece to one side of the rectangle such that the 2cm side is attached to the rectangle, the new perimeter = 27+3+2+3 = 35 cm.
In this case the perimeter increases by 3 cm,
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