question_answer 1)

                The area of a trapezium is \[34\,\,c{{m}^{2}}\] and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the another parallel side.

Answer:

                Area of trapezium \[=\frac{1}{2}\,h(a+b)\] \[\Rightarrow \]               \[34=\frac{1}{2}\,\times 4\,(10+b)\] \[\Rightarrow \]               \[34=2\times (10+b)\] \[\Rightarrow \]               \[10+b=\frac{34}{2}\] \[\Rightarrow \]               \[10+b=17\] \[\Rightarrow \]               \[b=17-10\] \[\Rightarrow \]               \[b=7\,cm\] Hence, the length of another parallel side is 7 cm.