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A rectangle has a length that is twice its width. If the width is w, what is the

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Question: A rectangle has a length that is twice its width. If the width is w, what is the area of the rectangle?

Options:

  1. 2w^2
  2. w^2
  3. 2w
  4. w

Correct Answer: 2w^2

Solution: 

Area = Length × Width. Length = 2w, so Area = 2w × w = 2w^2.

A rectangle has a length that is twice its width. If the width is w, what is the

Practice Questions

Q1
A rectangle has a length that is twice its width. If the width is w, what is the area of the rectangle?
  1. 2w^2
  2. w^2
  3. 2w
  4. w

Questions & Step-by-Step Solutions

A rectangle has a length that is twice its width. If the width is w, what is the area of the rectangle?
  • Step 1: Understand that a rectangle has a length and a width.
  • Step 2: Note that the length of the rectangle is twice the width.
  • Step 3: If the width is represented by 'w', then the length can be written as '2w'.
  • Step 4: Recall the formula for the area of a rectangle, which is Area = Length × Width.
  • Step 5: Substitute the values for length and width into the area formula: Area = 2w × w.
  • Step 6: Simplify the expression: Area = 2w^2.
  • Area of a Rectangle – The area of a rectangle is calculated by multiplying its length by its width.
  • Relationship Between Length and Width – Understanding how the length relates to the width is crucial for solving the problem.
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