Find the height of the trapezium if its area is 205 sq. inches and the lengths of the bases are 20 inches and 21 inches.

 

Length of bases of trapezium = 20 in and 21 in

Area = 205 sq in

Let the height of the trapezium be 'h' units.

Using the trapezium formula, we know, Area = ½ (Sum of bases) x height

Substitute all these values in the area of the trapezium formula,

$$\begin{gathered} 205=\frac{1}{2}(20+21)h \\ or, h=205\times \frac{2}{41} \\ or,h=5\times 2 in \\ or, h=10 in \end{gathered}$$

Answer: The height of the given trapezium = 10 in.