question_answer

In\[\Delta \,ABC,\]\[\angle B=90{}^\circ ,\] AB = 16 cm, AC = 20 cm. D and E are points on AB and AC respectively such that \[\angle AED=90{}^\circ \] and \[DE=4\,\,cm\]. Find the value of \[\frac{\text{area}\,\,\text{of}\,\,\text{quadrilateral}\,\,\text{BCED}}{\text{area}\,\,\text{of}\,\,\Delta \,\text{ABC}}\]

A)  \[\frac{10}{3}\]                        

B)  \[\frac{3}{10}\]

C)  \[\frac{8}{9}\] 

D)  \[\frac{9}{8}\]

E)  None of these