Answer:
[tex]6\ \text{cm}[/tex]
Step-by-step 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
[tex]6+7+2+3+2+3+2+13=38\ \text{cm}[/tex]
Perimeter of old shape
[tex]2(10+6)=32\ \text{cm}[/tex]
Change in the perimeter is [tex]38-32=6\ \text{cm}[/tex]
The perimeter of changed by [tex]6\ \text{cm}[/tex].
