In a rectangle, if the length is doubled and the width remains the same, how doe

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Question: In a rectangle, if the length is doubled and the width remains the same, how does the area change?

Options:

Correct Answer: It doubles

Solution:

If the length is doubled, the new area becomes 2 × length × width, which is double the original area.

In a rectangle, if the length is doubled and the width remains the same, how does the area change?

In a rectangle, if the length is doubled and the width remains the same, how does the area change?

Step 1: Understand the formula for the area of a rectangle, which is Area = Length × Width.
Step 2: Let the original length be L and the original width be W.
Step 3: Calculate the original area using the formula: Original Area = L × W.
Step 4: Now, if the length is doubled, the new length becomes 2L.
Step 5: The width remains the same, so it is still W.
Step 6: Calculate the new area using the formula: New Area = New Length × Width = (2L) × W.
Step 7: Simplify the new area: New Area = 2L × W = 2 × (L × W).
Step 8: Notice that 2 × (L × W) is double the original area.
Step 9: Conclude that when the length is doubled, the area of the rectangle also doubles.

Area of a Rectangle – The area of a rectangle is calculated by multiplying its length by its width.
Effect of Doubling Length – Doubling the length of a rectangle while keeping the width constant results in an area that is also doubled.