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Example 3 The two sides of the parallelogram ABCD are 6 cm and 4 cm. The height corresponding to the base CD is 3 cm. Find the (i) area of the parallelogram. (ii) the height corresponding to the base AD Finding area of parallelogram Using BE as height and CD as base Here, Base = CD = 6 cm Height = BE = 3 cm Area of parallelogram = Base × Height = CD × BE = 6 × 3 = 18 cm2 Now, we need to find height corresponding to base AD Let that height be BF Base = AD = 4 cm Height = BF = x Area of parallelogram = Base × Height 18 = AD × BF 18 = 4 × BF 4 × BF = 18 BF = 𝟏𝟖/𝟒 BF = 9/2 BF = 4.5 cm Area of parallelogram is 18 cm2 and height corresponding to base AD is 4.5 cm

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.