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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?

Sagot :

boffeemadrid

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].

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