SOLUTION: Two Parallel sides DC & AB of a trapezium are 12 cm and 36 cm respectively. If non parallel sides are 15 cm each.Find the area of the trapezium?

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 Geometry: Area and Surface Area Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Surface-area Question 574813: Two Parallel sides DC & AB of a trapezium are 12 cm and 36 cm respectively. If non parallel sides are 15 cm each.Find the area of the trapezium?Answer by Edwin McCravy(8879)   (Show Source): You can put this solution on YOUR website!```The trapezoid (the US word for the UK word "trapezium") is isosceles: We will draw altitudes AF and BE (in green) perpendicuilar to DC. Since EF = AB = 12cm, and 12cm is of DC which is 36cm, DF amd EC are also 12cm each. We can find altitude AF by applying the Pythagorean theorem to right triangle ADF: AF² + DF² = AD² AF² + 12² = 15² AF² + 144 = 225 AF² = 81 AF = 9cm Area =(Average of parallel sides)·(altitude) Area = ·AF Area = ·9cm Area = ·9cm Area = 24cm·9cm Area = 216cm² Edwin```