Perimeter of a Rectangle Calculator

Published on: June 9, 2024
Final Answer: Free Full Steps: Plus

This Perimeter of a Rectangle Calculator helps you find the total distance around a rectangle when the width and length are known. It uses the formula P = 2(w + l), where w is the width, l is the length, and the answer is written in units. Add the width and length, then multiply by 2 to get the perimeter. It is a simple way to check answers, understand the rectangle perimeter formula, and practise basic geometry step by step.

Rectangle with sides labeled w and l

In the diagram, the width is w and the length is l.

Step-by-step method

  1. Identify what is given.
  2. Write the formula.
  3. Substitute the values and calculate the perimeter.

Formula:

\(P = 2(l + w)\)

Example 1:

\(w = 5, l = 3\)

Step 1 - Identify what is given.

In this problem: The given dimensions are \(w = 5\) and \(l = 3\).

\(w = 5,\; l = 3\)

Step 2 - Write the formula.

In this problem: Use the rectangle perimeter formula: \(P = 2(l + w)\).

\(P = 2(l + w)\)

Step 3 - Substitute the values and calculate the perimeter.

In this problem: Substitute \(l = 3\) and \(w = 5\): \(P = 2(3 + 5) = 2(8) = 16\).

\(P = 2(3 + 5) = 2(8) = 16\)

Final answer:

\(P = 16\)

Example 2:

\(w = 7.5, l = 2\)

Step 1 - Identify what is given.

In this problem: The given dimensions are \(w = 7.5\) and \(l = 2\).

\(w = 7.5,\; l = 2\)

Step 2 - Write the formula.

In this problem: Use the rectangle perimeter formula: \(P = 2(l + w)\).

\(P = 2(l + w)\)

Step 3 - Substitute the values and calculate the perimeter.

In this problem: Substitute \(l = 2\) and \(w = 7.5\): \(P = 2(2 + 7.5) = 2(9.5) = 19\).

\(P = 2(2 + 7.5) = 2(9.5) = 19\)

Final answer:

\(P = 19\)