Perimeter Of A Parallelogram Perimeter Of A Parallelogram A Parallelogram is a quadrilateral which has two parallel pair of sides. parallelograms are:
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--- The opposite sides of a parallelogram are equal in length. --- The opposite angles are congruent. --- Sum of the angles of parallelogram is 3600. Perimeter of a Polygon is the sum of length of each side, but as opposite sides of a parallelogram are equal the formula to find the perimeter is given below: Perimeter = 2 (side 1 + side 2) Perimeter of a Parallelogram Calculator is a type of calculator that is used to calculate the perimeter of a parallelogram when the measures of the sides are provided. It has text space to take the length and height as input from the user side and a “Calculate� button which on clicking shows the answer.
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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
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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
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