The perimeter of square is the total length of its boundary. A square is a four-sided polygon that can be continuous or irregular. In a constant quadrilateral, all the sides are equal in length and also all the angles room of same measure, whereas, in an irregular quadrilateral, the sides and also angles room not equal. There are 6 specific species of quadrilaterals - Square, rectangle, parallelogram, rhombus, kite, and trapezoid. Let united state learn exactly how to find the perimeter of square in this page.

You are watching: How do you find the perimeter of a quadrilateral

1. | What is Perimeter of a Quadrilateral? |

2. | Perimeter of quadrilateral Formula |

3. | Perimeter recipe of Different types of Quadrilaterals |

4. | Perimeter that Quadrilateral with Inscribed Circle |

5. | FAQs ~ above Perimeter that Quadrilateral |

## What is Perimeter that a Quadrilateral?

The perimeter of a quadrilateral is the size of its boundary, i.e., if we join all the four sides of a quadrilateral to form a solitary line segment, the size of the resultant heat segment is dubbed its perimeter. Thus, the unit that the perimeter the a square is the very same as that of that is side, i.e., the is measure up in linear units choose meters, inches, centimeters, etc.

## Perimeter of square Formula

We recognize that the perimeter of a quadrilateral can be acquired by including all its side lengths. This deserve to be to express by a straightforward formula. Because that example, the formula because that the perimeter that a square ABCD deserve to be expressed as,

Perimeter = abdominal muscle + BC + CD + DA

## Perimeter formulas of Different types of Quadrilaterals

We have already seen that there room 6 specific varieties of quadrilaterals, i beg your pardon are, square, rectangle, parallelogram, rhombus, kite, and also trapezoid. Despite the perimeter of a quadrilateral is the amount of every its sides, sometimes, every the side lengths might not have actually been given. In together cases, we should recollect the properties of quadrilaterals v respect come sides, in bespeak to achieve the side lengths that are not given. Because that example, if we require to discover the perimeter the a square with just one side length given, we need to recollect one of the properties of the square, the all its next lengths room equal. So, if us assume one side of the square to be x, that is perimeter will certainly be x + x + x + x = 4x. In the very same way, we deserve to derive the perimeter recipe of every one of the 6 specific types of quadrilaterals. Observe the following number to check out the various formulas that are used for calculating the perimeter that quadrilaterals.

## Perimeter the Quadrilateral through Inscribed Circle

Sometimes, a quadrilateral has actually a circle inside it. This is termed as a circumscribed square or a quadrilateral v an inscriptions circle. In together cases, we use the residential or commercial property of the tangent that a one which claims "any two tangents attracted to a circle indigenous a suggest are of equal lengths". We will see just how to find the perimeter of a circumscribed square (or) the perimeter that a quadrilateral v a circle inside it using the example given below.

**Example: **Find the perimeter the the following quadrilateral.

**Solution:**

Using the building of tangents - 'Any two tangents attracted to a circle native a allude are of same lengths', permit us discover the perimeter that quadrilateral through an inscriptions circle.

PT = PU = 5 inches

QV = QU = 2 inches

RW = RV = 3 inches

ST = SW = 4 inches

Now the perimeter of the square is,

PQ + QR + RS + SP

= (PU + UQ) + (QV + VR) + (RW + WS) + (ST + TP)

= (5 + 2) + (2 + 3) + (3 + 4) + (4 + 5)

= 28 inches

Therefore, the perimeter the the provided quadrilateral = 28 inches.

See more: How Many Pints Is 24 Quarts ? Quarts To Pints Conversion (Qt To Pt)

**Note: **We have the right to use the same property of tangents of a circle "two tangents attracted to a circle native a allude are of equal lengths" to discover the perimeter that a cyclic quadrilateral (a quadrilateral that is inscriptions in a circle) together well.