How To Find The Perimeter Of A Quadrilateral
Video How to Find the Perimeter of a Quadrilateral Perimeter of a Quadrilateral The perimeter of a quadrilateral is the sum of its boundary lengths. A quadrilateral is a polygon with four sides, which can be either regular or irregular. In an equilateral quadrilateral, all sides are equal in length and all angles have equal measures, whereas, in an irregular quadrilateral, the sides and angles are not equal. There are 6 specific quadrilaterals – Square, rectangle, parallelogram, rhombus, kite and trapezoid. Let’s learn how to find the perimeter of a quadrilateral in this page. 1. What is the perimeter of a quadrilateral? 2. Perimeter of a quadrilateral 3. Perimeter of quadrilaterals formulas 4. Perimeter of a quadrilateral with an inscribed circle 5. Perimeter FAQs Perimeter of a quadrilateral is its length its boundary, that is, if we join all four sides of a quadrilateral forming a line segment, the length of the resulting line segment is called its perimeter. Thus, the unit of the perimeter of a quadrilateral is the same as its side, i.e. it is measured in linear units like meters, inches, centimeters, etc. Read: how to find the perimeter of a quadrilateralWe know that the perimeter of a quadrilateral can be obtained by adding all its side lengths. This can be expressed by a simple formula. For example, the formula for the perimeter of quadrilateral ABCD can be expressed as, Perimeter = AB + BC + CD + DA
We have seen that there are 6 types of quadrilaterals namely square, rectangle, parallelogram, rhombus, kite and trapezoid. Although the perimeter of a quadrilateral is the sum of all its sides, sometimes all the side lengths may not be given. In that case, we need to recall the properties of the quadrilateral with respect to the sides, in order to get the given lengths of the sides. For example, if we need to find the perimeter of a square with only one given side length, we need to recall one of the properties of a square that all its side lengths are equal. So if we assume one side of a square is x, then its perimeter will be x + x + x + x = 4x. By analogy, we can derive the formula for the perimeter of all 6 specific types of quadrilaterals. Observe the following figure for different formulas used to calculate the perimeter of a quadrilateral.
Read more: how to wrap a cup with tissue paper Sometimes, a quadrilateral has a circle inside. This is called an inscribed quadrilateral or a quadrilateral with an inscribed circle. In such cases we use the property of a tangent to a circle that says “any two tangents drawn to a circle from a point of equal length”. We will see how to find the perimeter of a circumscribed quadrilateral (or) the perimeter of a quadrilateral with a circle inside it using the example below.Example: Find the perimeter of the following quadrilateral.
Solution:Using the property of tangent – ‘Any two tangents draw a circle from a point of equal length’, find the perimeter of the quadrilateral with the inscribed circle .PT = PU = 5 inchesQV = QU = 2 inchRW = RV = 3 inchesRead more: how to make your jeans tighter without a beltST = SW = 4 inches Now the perimeter of the quadrilateral is, PQ + QR + RS + SP = (PU + UQ) + (QV + VR) + (RW + WS) + (ST + TP) = (5 + 2) + (2 + 3) + (3 + 4) + (4 + 5) = 28 inches So circumference of the given quadrilateral = 28 inches.Note: We can use the analogy of tangents to a circle “two tangents drawn to a circle from a point of equal length” to find the perimeter of an inscribed quadrilateral (a quadrilateral of equal length). inscribed in a circle). Read more: how to transfer usb tether to xbox one
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