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From a square sheet of side 8 cm , a pie...

From a square sheet of side `8` cm , a piece of a paper width `2` cm is removed along the border. Then find the area of the removed piece of paper.

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The correct Answer is:
48 sq.cm

Side of an outer square sheet `=8 cm`
Area of an outer square `=8^2=64sq.cm`

Width of a removed piece of paper `=2cm`
Side of the inner square `=8-2(2)=8-4=4cm`
Area of the inner square `=4^2=16 sq.cm`
Area of the removed paper =Area of the outer square -Area of the inner square
`64-16=48 sq.cm`
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