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The parallel sides of a trapezium are 25 cm and 11 cm and its non-parallelsides are 15 cm and 13 cm. What is the area of trapezium? |
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Answer» 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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