A square is cut out from one corner of a rectangle as shown. If the perimeter of the shape formed is 24 cm, the perimeter of the rectangle was cm.
A
12
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B
36
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C
24
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Solution
The correct option is C 24
So, the perimeter of the new shape = Length + Breadth + Length + Breadth
= 2 × Length + 2 × Breadth
The perimeter of the rectangle originally
= Length + Breadth + Length + Breadth
= 2 × Length + 2 × Breadth
So, we can say that the perimeter of the shape formed is equal to the perimeter of the rectangle originally.
So, the perimeter of the rectangle = 24 cm