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If a rectangle has a length of 3x and a width of 2x, what is its area?

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Question: If a rectangle has a length of 3x and a width of 2x, what is its area?

Options:

  1. 5x^2
  2. 6x^2
  3. 7x^2
  4. 8x^2

Correct Answer: 6x^2

Solution:

Area = Length × Width = 3x × 2x = 6x^2.

If a rectangle has a length of 3x and a width of 2x, what is its area?

Practice Questions

Q1
If a rectangle has a length of 3x and a width of 2x, what is its area?
  1. 5x^2
  2. 6x^2
  3. 7x^2
  4. 8x^2

Questions & Step-by-Step Solutions

If a rectangle has a length of 3x and a width of 2x, what is its area?
  • Step 1: Identify the length of the rectangle, which is given as 3x.
  • Step 2: Identify the width of the rectangle, which is given as 2x.
  • Step 3: Use the formula for the area of a rectangle, which is Area = Length × Width.
  • Step 4: Substitute the values of length and width into the formula: Area = 3x × 2x.
  • Step 5: Multiply the numbers and the variables: 3 × 2 = 6 and x × x = x^2.
  • Step 6: Combine the results to get the final area: Area = 6x^2.
  • Area of a Rectangle – The area of a rectangle is calculated by multiplying its length by its width.
  • Algebraic Expressions – Understanding how to manipulate algebraic expressions, particularly with variables.
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