If a rectangle has a perimeter of 30 cm and a length of 10 cm, what is its width

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

Options:

Correct Answer: 7.5 cm

Solution:

Perimeter = 2(length + width), so 30 cm = 2(10 cm + width). Width = (30 cm/2) - 10 cm = 5 cm.

If a rectangle has a perimeter of 30 cm and a length of 10 cm, what is its width?

If a rectangle has a perimeter of 30 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 30 cm and the length is 10 cm.
Step 3: Substitute the known values into the formula: 30 cm = 2(10 cm + width).
Step 4: Divide both sides of the equation by 2 to simplify: 30 cm / 2 = 10 cm + width.
Step 5: This gives us 15 cm = 10 cm + width.
Step 6: To find the width, subtract 10 cm from both sides: width = 15 cm - 10 cm.
Step 7: 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 – Solving for an unknown variable (width) using algebraic operations.