ABCD is a trapezium in which AB is parallel to DC, AD is perpendicular to AB, and AB = 3DC. If a circle inscri

Question

ABCD is a trapezium in which AB is parallel to DC, AD is perpendicular to AB, and AB = 3DC. If a circle inscribed in the trapezium touching all the sides has a radius of 3 cm , then the area, in sq. cm, of the trapezium is

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Accepted Answer

48 48 48. We extend B C BC B C and A D AD A D to meet at E E E , and based on the information provided, can construct the diagram as follows: D C = A T = x DC = AT =x D C = A T = x and B T = 2 x BT = 2x B T = 2 x such that A B = 3 D C AB = 3DC A B = 3 D C . ∠ A = 90 ∘ \angle A= 90^{\circ} ∠ A = 9 0 ∘ and tria