If a rectangle has a perimeter of 24 cm and a length of 10 cm, what is its width

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Question: If a rectangle has a perimeter of 24 cm and a length of 10 cm, what is its width?

Options:

Correct Answer: 4 cm

Solution:

Perimeter = 2(length + width) => 24 cm = 2(10 cm + width) => width = 4 cm.

If a rectangle has a perimeter of 24 cm and a length of 10 cm, what is its width?

If a rectangle has a perimeter of 24 cm and a length of 10 cm, what is its width?

Step 1: Understand that the perimeter of a rectangle is calculated using the formula: Perimeter = 2(length + width).
Step 2: We know the perimeter is 24 cm and the length is 10 cm.
Step 3: Substitute the known values into the formula: 24 cm = 2(10 cm + width).
Step 4: Simplify the equation: 24 cm = 20 cm + 2 * width.
Step 5: To isolate the term with width, subtract 20 cm from both sides: 24 cm - 20 cm = 2 * width.
Step 6: This simplifies to 4 cm = 2 * width.
Step 7: Now, divide both sides by 2 to find the width: width = 4 cm.

Perimeter of a Rectangle – The perimeter of a rectangle is calculated using the formula P = 2(length + width).
Algebraic Manipulation – Solving for an unknown variable (width) using algebraic equations.