question_answer

Calculate the area of the trapezium ABCD shown below \[ED||AC\]

A)  \[DA\bot AB,\]                       

B)  \[CB\bot AB\]

C) 20                   

D)  \[OM\bot AB\]

Correct Answer: B

Solution :

First, we draw line CE which AB at E Given \[{{30}^{o}}\] and CD = 3 cm And AB = 7cm Now,  \[{{80}^{o}}\] \[{{100}^{o}}\]           (\[\angle DAC={{54}^{o}}\] \[\angle ACB={{63}^{o}}\]) \[\angle BAC\]   \[{{72}^{o}}\] \[{{54}^{o}}\]  \[{{27}^{o}}\] Now, in \[{{90}^{o}}\] \[\angle BOD={{120}^{o}}\] \[\angle ACD\] \[{{30}^{o}}\] Now, area of trapezium                         \[{{40}^{o}}\] \[{{60}^{o}}\] Area \[{{90}^{o}}\]