Rectangle Perimeter Calculator

Calculating the perimeter of a rectangle can be a breeze, especially when you have the right tool at your disposal. A Rectangle Perimeter Calculator is your trusted ally for tasks like determining the amount of fencing needed for your garden or solving geometry problems. There are three straightforward methods to find the perimeter of a rectangle using this calculator. Let’s delve into three methods, step by step.

Before diving into the calculator, let’s understand what we mean by the perimeter of a rectangle. In geometry, the perimeter refers to the total length of the boundary or outer edge of a two-dimensional shape. In the case of a rectangle, it’s the sum of all four sides. It’s an essential measurement for various real-world applications, from construction to mathematics.

Measure the Length and Width

If you’re dealing with a physical rectangle, measure its length (L) and width (W) using a ruler or measuring tape.

Apply the Formula

Use the formula P = 2(L + W), where P represents the perimeter, L is the length, and W is the width.

Calculate

Input the values into the Rectangle Perimeter Calculator, and it will instantly provide you with the perimeter.

Example

Suppose you have a rectangular garden with a length (L) of 8 feet and a width (W) of 5 feet.

Using the formula :

P = 2(L + W) = 2(8 + 5) = 26 feet

So, the perimeter of your garden is 26 feet.

Measure the Area and One Side (Length or Width)

If you have the area (A) of the rectangle and one side (either length or width), you can find the other side.

Apply the Formula

Use the formula A = L * W (where A is the area, L is the length, and W is the width) to find the missing side (L or W).

Find the Perimeter

Now that you have both sides (L and W), use Method 1 to calculate the perimeter as explained earlier.

Example

Let’s say you have a rectangular room with an area (A) of 300 square feet, and you know the length (L) is 15 feet.

Using the formula A = L * W:

300= 15 * W

W = 300/ 15 = 20 ft.

Now, you have both sides (L = 15 ft. and W = 20 ft.), so you can use Method 1 to calculate the perimeter.

P = 2(L + W) = 2(15 + 20) = 70 feet

So, the perimeter of your room is 70 feet.

Measure the Diagonal and One Side (Length or Width)

If you have the diagonal (D) of the rectangle and one side (either length or width), you can find the other side.

Apply the Formula

Use the Pythagorean theorem: D² = L² + W² (where D is the diagonal, L is the length, and W is the width) to find the missing side (L or W).

Find the Perimeter

Now that you have both sides (L and W), use Method 1 to calculate the perimeter as explained earlier.

Example

Let’s say you have a rectangle, and you know the length of one side (L) is 5 units, and the diagonal (D) is 13 units. You want to find the width (W) and then calculate the perimeter.

Use the Pythagorean theorem to find the missing side (W)

D² = L² + W²

13² = 5² + W²

169 = 25 + W²

W² = 144

W = 12 units

Now that you have both sides (L = 5 units and W = 12 units), you can calculate the perimeter using Method 1:

P = 2(L + W) = 2(5 + 12) = 34 units

So, the perimeter of this rectangle is 34 units.