Question

If the area of a trapezium is 28 cm² and one of its parallel sides is 6 cm, find the other parallel side if its altitude is 4 cm.

Answer 1

Given:

Area of the trapezium = 28 cm² 

Length of one of its parallel sides = 6 cm

Altitude = 4 cm

Let the other side be x cm.

Area of trapezium \[=\frac{1}{2}\times(\text{ Sum of the parallel sides })\times(\text{ Altitude })\]

\[ \Rightarrow 28=\frac{1}{2}\times(6+x)\times(4)\]

\[ \Rightarrow 28 = 2 \times (6 + x)\]

\[ \Rightarrow 6+x=\frac{28}{2}=14\]

\[ \Rightarrow x=14-6=8 cm\]

Hence, the length of the other parallel side of the trapezium is 8 cm.