Question

What will happen to area of : a) Square when side is doubled? b) Rectangle length and breadth are doubled.
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Answer 1

Answer:-

What will happen to area of :

• a) Square when side is doubled?

=> We know that:-

• Area of a square = a² [Where a = side]

If the side is doubled then,

• New side = 2 × a = 2a
• New area = (2a)² = 4a²

Hence, if the side of a square is doubled then the area becomes 4 times of the original.

• b) Rectangle length and breadth is doubled

=> We know that:-

• Area of a rectangle = lb [Where l = length, b = breadth]

If length and breadth is doubled then,

• New length = 2 × l = 2l
• New breadth = 2 × b = 2b
• New area = 2l × 2b = 4lb

Hence, if the side of a square is doubled then the area becomes 4 times of the original.