Perimeter of a Square Calculator

Published on: May 26, 2024
Final Answer: Free Full Steps: Plus

This Perimeter of a Square Calculator helps you find the total distance around a square when the side length is known. It uses the formula P = 4a, where a is the side length and the answer is written in units. Multiply the side length by 4 to get the perimeter. It is a simple way to check answers, understand the square perimeter formula, and practise basic geometry step by step.

Square with sides labeled a

In the diagram, each side is labeled a.

Step-by-step method

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

Formula:

\(P = 4a\)

Example 1:

\(a = 5\)

Step 1 - Identify what is given.

In this problem: The given side length is \(a = 5\).

\(a = 5\)

Step 2 - Write the formula.

In this problem: Use the square perimeter formula: \(P = 4a\).

\(P = 4a\)

Step 3 - Substitute the value and calculate the perimeter.

In this problem: Substitute \(a = 5\): \(P = 4 \times 5 = 20\).

\(P = 4 \times 5 = 20\)

Final answer:

\(P = 20\)

Example 2:

\(a = 3.5\)

Step 1 - Identify what is given.

In this problem: The given side length is \(a = 3.5\).

\(a = 3.5\)

Step 2 - Write the formula.

In this problem: Use the square perimeter formula: \(P = 4a\).

\(P = 4a\)

Step 3 - Substitute the value and calculate the perimeter.

In this problem: Substitute \(a = 3.5\): \(P = 4 \times 3.5 = 14\).

\(P = 4 \times 3.5 = 14\)

Final answer:

\(P = 14\)