Question

if measurements of sides of square doubled wt happens to area of square​

Answer 1

Answer:

The area becomes 4 times the original area.

Explanation

To Find

• What happens to the area when side of a square is doubled.

Solution

Let the original side = x

Area = side × side

⟹ Area = x × x

⟹ Area = x²

If the side is doubled,

The side = 2x

Area = side × side

⟹ Area = 2x × 2x

⟹ Area = 4x²

Comparing New area to the Original area

⟹ 4x² : x²

⟹ 4 : 1

The New area is four times the original area