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2015-09-15T19:29:13+05:30

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A = 60 cm    b = 77 cm  Parallel sides.
c = 25 cm  and  d = 26 cm.
a,  c, b , d are the consecutive sides in that order.

Altitude of the trapezium = h  is given by Heron's formula:

h=\frac{\sqrt{[(c+d)^2-(b-a)^2]\ [ (a-b)^2 - (c-d)^2 ]}}{2*|b-a|}\\\\=\frac{\sqrt{[51^2-17^2]\ [ 17^2 - 1^2 ]}}{2*17}\\\\=\frac{17*\sqrt{8*288}}{2*17}=24 cm

Area of the trapezium = 1/2 * (a+b) h = 137 * 24 /2 = 1644 cm²

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