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The parallel sides of a trapezium are 25 cm and 11 cm and its non-parallel sides are 15 cm and 13 cm. What is the area of trapezium? |
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Answer» ong>Answer: Step-by-step explanation: Draw CE such that AECD is a parallelogram AE = CD = 11 cm AD = CE = 15 cm
EB = 14 cm Area of ΔECB = where s = (a+b+c)/2 a = 13 cm, b = 14 cm, c = 15 cm Here s = (13+14+15)/2 = 21 cm Area of ΔECB =
= = 84 sq cm But Area of ΔECB = 1/2 × base (EB) × height (h)
1/2 × 14 × h = 84
h = 12 cm
Area of TRAPEZIUM ABCD = 1/2 × h × (AB + CD)
= 1/2 × 12 × (25 + 11)
= 6 × 36
= 216 sq cm
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