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The parallel sides of a trapezium are 25cm & 11cm,while its non parallel sides are 15cm & 13cm,Find the area of trapezium?
Dear student Draw CE such that AECD is a parallelogramAE = CD = 11 cmAD = CE = 15 cmEB = 14 cmArea of ΔECB = s(s-a)(s-b)(s-c)where s = (a+b+c)/2a = 13 cm, b = 14 cm, c = 15 cmHere s = (13+14+15)/2 = 21 cmArea of ΔECB = 21(21-13)(21-14)(21-15) = 84 sq cm But Area of ΔECB = 1/2 × base (EB) × height (h)1/2 × 14 × h = 84h = 12 cmArea of trapezium ABCD = 1/2 × h × (AB + CD) = 1/2 × 12 × (25 + 11) = 6 × 36 = 216 sq cm RegardsArun (askIITians forum expert)
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