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Question
Four squares each of side 1 cm are cut out from a square of side 4 cm. The area(in sq. cm) of the resulting shape is ___.
Four squares each of side 1 cm are cut out from a square of side 4 cm. The area(in sq. cm) of the resulting shape is ___.
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Solution
The correct option is A 12
When four squares of side 1 cm each are cut out from a square of side 4 cm, we obtain the shape as in the above image.
Area of the resulting figure
= Area of the original square - 4 x (Area of the small squares)
Area of the original square = Length x Length
= 4 x 4
= 16 sq. cm
Area of small squares = Length x Length
= 1 x 1
= 1 sq. cm
Therefore the area of the resulting shape is
= 16 - 4 x 1 = 12 sq. cm
When four squares of side 1 cm each are cut out from a square of side 4 cm, we obtain the shape as in the above image.Area of the resulting figure
= Area of the original square - 4 x (Area of the small squares)
Area of the original square = Length x Length
= 4 x 4
= 16 sq. cm
Area of small squares = Length x Length
= 1 x 1
= 1 sq. cm
Therefore the area of the resulting shape is
= 16 - 4 x 1 = 12 sq. cm
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