Question

Two parallel sides DC and ab of trapezium are 12 cm and 36 CM respectively if non parallel sides are each equal to 15 cm find the area of trapezium

Answer 1

Answer:

We will draw altitudes AF and BE perpendicuilar to DC. Since

EF = AB = 12cm, and 12cm is 1%2F3 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 = %28AB%2BDC%29%2F2·AF

Area = %2812cm%2B36cm%29%2F2·9cm

Area = 48cm%2F2·9cm

Area = 24cm·9cm

Area = 216cm²

Answer 2

Answer:

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Step-by-step explanation:

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