Question

Area of a trapezium is 171 cm and its height is 9 cm. If one of the parallel sides is longer than
the other side by 12 cm, find the parallel sides.

Answer 1

Answer:

The parallel sides are 15 cm and 27 cm.

Step-by-step explanation:

Area of the trapezium =171 cm²

  Height =9 cm

Let the length of the smaller side be x.

Then, the length of the longer side will be 12 more than the smaller side, i.e. 12+x.

Area of trapezium =  $\frac{1}{2}$ ×(Sum of the parallel sides)×(Height)

                                 $171=\frac{1}{2} \cdot [(8+x)+x] \cdot 9\\ \\ 8+2x=\frac{2 \cdot 171}{9} \\ \\ 8+2x=\frac{342}{9} \\ \\ 8+2x=38\\ \\ 2x=38-8=30\\ \\ x=15$

The another parallel side is 12+x i.e 27 cm