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A rectangle has an area of 72 cm² and a length of 12 cm. What is its width?

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Question: A rectangle has an area of 72 cm² and a length of 12 cm. What is its width?

Options:

  1. 6 cm
  2. 8 cm
  3. 4 cm
  4. 10 cm

Correct Answer: 8 cm

Solution: 

Area = length × width. Therefore, width = Area/length = 72 cm²/12 cm = 6 cm.

A rectangle has an area of 72 cm² and a length of 12 cm. What is its width?

Practice Questions

Q1
A rectangle has an area of 72 cm² and a length of 12 cm. What is its width?
  1. 6 cm
  2. 8 cm
  3. 4 cm
  4. 10 cm

Questions & Step-by-Step Solutions

A rectangle has an area of 72 cm² and a length of 12 cm. What is its width?
Correct Answer: 6 cm
  • Step 1: Understand that the area of a rectangle is calculated by multiplying its length by its width.
  • Step 2: Write down the formula for area: Area = length × width.
  • Step 3: Substitute the known values into the formula. We know the area is 72 cm² and the length is 12 cm.
  • Step 4: Set up the equation: 72 cm² = 12 cm × width.
  • Step 5: To find the width, rearrange the equation to solve for width: width = Area / length.
  • Step 6: Substitute the values into the rearranged equation: width = 72 cm² / 12 cm.
  • Step 7: Calculate the width: 72 divided by 12 equals 6.
  • Step 8: Conclude that the width of the rectangle is 6 cm.
  • Area of a Rectangle – The area of a rectangle is calculated by multiplying its length by its width.
  • Algebraic Manipulation – Rearranging the formula to solve for an unknown variable (width in this case).
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