question_answer 21)

                The following figures GUNS and RUNS are parallelograms. Find \[x\] and \[y\]. (Lengths are in cm) (ii)

Answer:

                For Figure GUNS Since the opposite sides of a parallelogram are of equal length, therefore, \[3x=18\] \[\Rightarrow \]               \[x=\frac{18}{3}=6\] and        \[3x-1=26\] \[\Rightarrow \]               \[3y=26+1\] \[\Rightarrow \]               \[3y=27\] \[\Rightarrow \]               \[y=\frac{27}{3}=9\] For Figure RUNS Since the diagonals of a parallelogram bisect each other, therefore,                                 \[x+y=16\]                          ?(1) and        \[y+7=20\]                          ?(2) From (2), \[y=20-7=13\] Putting \[y=3\] in (1), we get \[x+13=16\,\,\Rightarrow \,\,x=16-13=3\].