Question

lf a rectangular piece of dimensions
3 cmx 2 cm is cut from one corner of
a rectangular sheet of dimensions
10 cm x 6 cm and attached to its side
projecting out of the rectangle, what
will be the change in perimeter of the
new shape thus formed?​

Answer 1

Answer:

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,