If the length of a side of a square is doubled, what happens to the area? (2023)

₹0.0

Question: If the length of a side of a square is doubled, what happens to the area? (2023)

Options:

Correct Answer: It quadruples

Exam Year: 2023

Solution:

Area of square = side². If side is doubled, new area = (2 * side)² = 4 * side², so area quadruples.

If the length of a side of a square is doubled, what happens to the area? (2023)

If the length of a side of a square is doubled, what happens to the area? (2023)

Step 1: Understand that a square has four equal sides.
Step 2: The area of a square is calculated by multiplying the length of one side by itself (Area = side × side or Area = side²).
Step 3: If we double the length of one side, we can represent the new side length as 2 × side.
Step 4: Now, calculate the new area using the new side length: New Area = (2 × side) × (2 × side).
Step 5: Simplify the new area calculation: New Area = 4 × (side × side) = 4 × side².
Step 6: Compare the new area (4 × side²) with the original area (side²).
Step 7: Notice that the new area is 4 times the original area, which means the area quadruples.

Area of a Square – The area of a square is calculated by squaring the length of one of its sides.
Effect of Doubling Dimensions – Doubling the length of a side affects the area exponentially, specifically by a factor of four.