\(ABCD\) is a quadrilateral in which \(AB=5cm,CD=8cm\) and the sum of angle\( A \)and angle \(D\) is \(180^{\circ }\). What is the name of this quadrilateral?( )
\(ABCD\) is a quadrilateral in which \(AB=5cm,CD=8cm\) and the sum of angle\( A \)and angle \(D\) is \(180^{\circ }\). What is the name of this quadrilateral?( )
A. Parallelogram
B. Trapezium
C. Rhombus
D. Can not be determined
Answer
B
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Solution
we have given that \(ABCD\) is a quadrilateral as we can see in the figure above the sides \(AB=5\ cm\) and side \(CD = 8\ cm\). \(\angle A +\angle D = 180^{\circ} \) (given) If a quadrilateral have sum of supplementary angle as \(180^{\circ}\) and the opposite sides are unequal(given) then the quadrilateral is a Trapezium. Hence, Quadrilateral \(ABCD\) is a Trapezium.
Rajan borrowed Rs. \(1050\) from his friend at \(8\%\) p.a. simple interest for \(4\) years. After \(4\) years he paid Rs. \(1386\) and settled the account. Simple interest paid by Rajan is( )