Question

what will happen to the area of square if its side is doubled and halved

Answer 1

let the side of the square = x

Therefore, area of a square = (side)²
= x²

Area of the square when sides are doubled= (side × 2 )²
= (2x)²
= 4x²

Therefore, when the side of the square are doubled its area will increase by 4 times

Area of the square when sides are halved = (side)²/2
= x²/2

Therefore,when the side of the square is halved it's area will also be halved



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Answer 2

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If length of side is doubled

→ side = 2a

→ Area of square = (2a)² = 4a²

Area become 4 times when side of square is doubled.