In the adjoining fig. ABCD is a trapezium AB || CD and its area is 33 cm. From the (x - 2) information given in the figure find the lengths of all sides of the OABCD. Fill in the empty boxes to get the solution
Solution : DABCD is a trapezium.
AB | CD
A (OABCD) = (AB
+
CD)
33 = (x + 2 x + 1) *[
= (3x + 1) x
3x +
= 0
: 3x (....) +10(...) = 0
.. (3x +10)(----) = 0
: (3x +10) = 0 or O =0 10
... : X= - or r=
But length is never negative,
10 3
AB = ---, CD = ---, AD = BC =
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