Perimeter Of A Parallelogram - Web Formulas

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Web Formulas Sign up | Login Home | Math | Physics | Chemistry | Biology | Other | Tools Submit New Formulas/Articles Recently Added Math Formulas · Volume of a Cone· Volume of an Ellipsoid· Volume of a Sphere· Volume of a Cylinder· Volume of a Cuboid Additional Formulas · Perimeter of a Square· Perimeter of a Rectangle· Perimeter of a Polygon· Perimeter of a Parallelogram· Perimeter of a Circle· Area of a Square· Area of a Rectangle· Area of a Polygon· Area of a Triangle· Area of a Parallelogram Current Location > Math Formulas > Geometry > Perimeter of a Parallelogram Perimeter of a Parallelogram Perimeter of a Parallelogram: h: height For any parallelogram the following statements are true: ab = dc ad = bc The perimeter of a parallelogram is therefore given by: P = 2 (ad + ab) If the length of ad or bc is not given, it can be calculated by using the following formula: ad = bc = h/cos(∠ecb)where ∠ecb is the angle measured in degree or radian∠ecb can be calculated if the length of eb is given:∠ecb = tan-1(eb/h) Example 1: Find the area and perimeter of the parallelogram, whose base is 18 cm and the height is 4 cm, also the angle between the base and the side is 130o and 50o. Solution: Given that: base = dc = ab = 18 cm h = 4 cm Area of parallelogram: A = b · h A = 18 · 4 A = 72 Thus, area of parallelogram = 72 cm2 Perimeter of parallelogram: P = 2(dc + ad) Since the length of ad is not known, we need to determine it first using ad = bc = h/cos(∠ecb) Inserting∠ecb = 150 o – 90 o = 60o ad = bc = 4/cos(∠60 o) ad = bc = 8 cm P = 2 · (18 + 8) = 2 ·26 = 52 cm Example 2: The area of the parallelogram ABCD is 54 m2 and its perimeter is 34 m. What are the dimensions of the parallelogram? Solution: Step 1: The area of the parallelogram ABCD = base × height = BC × AE = 54 m2 [Given, area of ABCD = 54 m2] Step 2: From the figure above, we can see that the height of the parallelogram is AE = 6 m Step 3: The base length of the parallelogram is BC = 54 · AE = 546 = 9 m[Substitute AE = 6.] Step 4: The perimeter of the parallelogram = AB + BC + AB + BC [From the figure, since CD = AB and AD = BC.] Step 5: [Substitute the value of the perimeter of the parallelogram.] (2 × AB) + (2 × BC) = 34 Step 6: [Distributive property.]2 × (AB + BC) = 34 Step 7: [Divide each side by 2.]AB + BC = 17 Step 8: [Substitute base length BC =9 m.]AB + 9 = 17 Step 9: [Subtract 9 from both the sides.]AB = 17 - 9 = 8 m Step 10: The dimensions of the parallelogram are l = 9 m and b = 8 m. Example 3: Find the perimeter of a parallelogram whose slant height is 24, height is 22 and breadth is 26, all units are in measured in mm. Solution: Given that: a = slant height of the parallelogram b= breadth of the parallelogram Perimeter of a parallelogram = 2*(24+26) = 2*50 = 100 mm Example 4: Find the perimeter of the parallelogram ABCD. Solution: Perimeter of the parallelogram ABCD = AB + BC + CD + AD AB = DC = 4 cm and AD = BC = 5 cm Perimeter = 4 + 5 + 4 + 5 = 18 cm Online Perimeter Calculator Web-Formulas.com © 2026 | Contact us | Terms of Use | Privacy Policy | Yellow Sparks Network Web Formulas

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