If the length of a rectangle is doubled and the width remains the same, how does

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

Options:

Correct Answer: It doubles

Solution:

Area = length × width; if length is doubled, area also doubles.

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

If the length of a rectangle 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: Identify the original length and width of the rectangle.
Step 3: If the length is doubled, write the new length as 2 × original length.
Step 4: Keep the width the same as the original width.
Step 5: Calculate the new area using the new length and the same width: New Area = (2 × original length) × original width.
Step 6: Simplify the new area: New Area = 2 × (original length × original width).
Step 7: Notice that the new area is 2 times the original area, meaning the area 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 doubling the area.