If the perimeter of a rectangle is 50 cm and the length is 15 cm, what is the wi

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Question: If the perimeter of a rectangle is 50 cm and the length is 15 cm, what is the width? (2020)

Options:

Correct Answer: 12.5 cm

Exam Year: 2020

Solution:

Perimeter = 2(length + width). So, 50 = 2(15 + width). Solving gives width = 10 cm.

If the perimeter of a rectangle is 50 cm and the length is 15 cm, what is the width? (2020)

If the perimeter of a rectangle is 50 cm and the length is 15 cm, what is the width? (2020)

Step 1: Write down the formula for the perimeter of a rectangle: Perimeter = 2(length + width).
Step 2: Substitute the given perimeter (50 cm) and length (15 cm) into the formula: 50 = 2(15 + width).
Step 3: Simplify the equation: 50 = 30 + 2 * width.
Step 4: Subtract 30 from both sides to isolate the term with width: 50 - 30 = 2 * width.
Step 5: This simplifies to 20 = 2 * width.
Step 6: Divide both sides by 2 to solve for width: width = 20 / 2.
Step 7: Calculate the final value: width = 10 cm.

Perimeter of a Rectangle – Understanding the formula for the perimeter of a rectangle, which is P = 2(length + width).
Algebraic Manipulation – Ability to rearrange and solve equations to find unknown variables.