# What is the formula of perimeter of diagonal?

## What is the formula of perimeter of diagonal?

Formula for Rectangle

Rectangle Formulas | |
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Perimeter of a Rectangle Formula | P = 2 (l + b) |

Diagonal of a Rectangle Formula | D = √l2+b2 |

**Is the diagonal of a square equal to its sides?**

Answer: No, the diagonal of a square is not equal to its sides. The diagonal of a square is calculated by using the formula: Diagonal of Square (d) = √2 × s, Here ‘s’ is the side of the square.

**What is the perimeter and area of square?**

Answer: The area of a square is equal to the square of the length of its side and the perimeter of the square is 4 times the length of its side. Let the length of the side of a square be ‘a’ units.

### How to find the perimeter of a square using the diagonal?

Note: Using the diagonal, the perimeter of the square can also be found as explained below. Finding Perimeter of Square Using Diagonal. It is known that the area of a square in terms of diagonal = ½ × d 2. Now, a × a = ½ × d 2. Or, a = √(½ × d 2) As the perimeter of square = 4a, P = 4 × √(d 2 /2) units. More Topics Related to Squares:

**What is the length of the side of the square?**

Length of the diagonal of square = s√2 = 6 × 1.414 = 8.484 Problem 2: If the area of the square is 16 sq.cm., then what is the length of its sides. Also find the perimeter of square. Solution: Given, Area of square = 16 sq.cm. Hence, the length of the side of square is 4 cm.

**How do you find the perimeter of a swimming pool?**

Then the perimeter is simply 2 x 4 = 8 inches. For a real-world example, take a square pool that you need to encompass in rope completely. One side measures 10 meters. To find the perimeter of the square pool just multiply 10 by 4 to get 40 meters.

#### What is the length of the diagonals of the square?

The length of the diagonals of the square is equal to s√2, where s is the side of the square. As we know, the length of the diagonals is equal to each other. Therefore, by Pythagoras theorem, we can say, diagonal is the hypotenuse and the two sides of the triangle formed by diagonal of the square, are perpendicular and base.