Question

In fig. 41, if ABCD is a parallelogram of area 273 cm², the value of h is

(a) 13 (b) 12 (c) 8 (d) 14

Answer 1

The quadrilateral ABCD is a trapezium whose area is 273 cm². So
$$\begin{gathered} \mathrm{Area}\mathrm{of}\mathrm{trapezium}=\frac{1}{2}\left(\mathrm{Sum}\mathrm{of}\mathrm{parallel}\mathrm{sides}\right)\times \mathrm{Height} \\ \Rightarrow 273=\frac{1}{2}\left(24+18\right)\times h \\ \Rightarrow h=\frac{273\times 2}{42}=13 \end{gathered}$$
Hence, the correct option is (a).