Question

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

Answer 1

`6\ \text{cm}`

Explanation:

The sides of the larger rectangle are 10 cm and 6 cm.

The sides of the part cut out are 3 cm and 2 cm.

The part cut out is attached to one of the sides of the rectangle.

Perimeter of the new shape will be

`6+7+2+3+2+3+2+13=38\ \text{cm}`

Perimeter of old shape

`2(10+6)=32\ \text{cm}`

Change in the perimeter is
`38-32=6\ \text{cm}`

The perimeter of changed by
`6\ \text{cm}`.