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If the perimeter of a rectangle is 30 cm and the length is 10 cm, what is the wi

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Question: If the perimeter of a rectangle is 30 cm and the length is 10 cm, what is the width?

Options:

  1. 5 cm
  2. 10 cm
  3. 7.5 cm
  4. 15 cm

Correct Answer: 5 cm

Solution: 

Perimeter P = 2(length + width). So, 30 = 2(10 + width). Dividing by 2 gives 15 = 10 + width. Thus, width = 15 - 10 = 5 cm.

If the perimeter of a rectangle is 30 cm and the length is 10 cm, what is the wi

Practice Questions

Q1
If the perimeter of a rectangle is 30 cm and the length is 10 cm, what is the width?
  1. 5 cm
  2. 10 cm
  3. 7.5 cm
  4. 15 cm

Questions & Step-by-Step Solutions

If the perimeter of a rectangle is 30 cm and the length is 10 cm, what is the width?
  • Step 1: Write down the formula for the perimeter of a rectangle: P = 2(length + width).
  • Step 2: Substitute the given perimeter (30 cm) and length (10 cm) into the formula: 30 = 2(10 + width).
  • Step 3: Simplify the equation by dividing both sides by 2: 30 ÷ 2 = 2(10 + width) ÷ 2, which gives 15 = 10 + width.
  • Step 4: To find the width, subtract 10 from both sides of the equation: width = 15 - 10.
  • Step 5: Calculate the result: width = 5 cm.
  • Perimeter of a Rectangle – The perimeter of a rectangle is calculated using the formula P = 2(length + width).
  • Algebraic Manipulation – The ability to rearrange equations to solve for an unknown variable.
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