The parallel sides of a trapezium are 25cm & 11cm,while its non parallel sides are 15cm & 13cm.Find the area of trapezium?
Smitha , 7 Years ago
Grade 10
1 Answers
Arun
Last Activity: 7 Years ago
Draw CE such that AECD is a parallelogram AE = CD = 11 cm AD = CE = 15 cm
EB = 14 cm Area of ΔECB = s(s-a)(s-b)(s-c)
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 = 21(21-13)(21-14)(21-15) = 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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