If the perimeter of a rectangle is 20 cm and the length is 6 cm, what is the wid

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Question: If the perimeter of a rectangle is 20 cm and the length is 6 cm, what is the width?

Options:

Correct Answer: 5 cm

Solution:

Perimeter P = 2(length + width). So, 20 = 2(6 + width). Solving gives width = 4 cm.

If the perimeter of a rectangle is 20 cm and the length is 6 cm, what is the width?

If the perimeter of a rectangle is 20 cm and the length is 6 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 (20 cm) and length (6 cm) into the formula: 20 = 2(6 + width).
Step 3: Simplify the equation: 20 = 12 + 2 * width.
Step 4: Subtract 12 from both sides to isolate the term with width: 20 - 12 = 2 * width.
Step 5: This simplifies to 8 = 2 * width.
Step 6: Divide both sides by 2 to solve for width: width = 8 / 2.
Step 7: Calculate the final answer: 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 techniques.