The cross - section of a canal is a trapezium in shape. If the canal

1.	The cross - section of a canal is a trapezium in shape. If the canal is 10 m wide at the top 6 m wide at the bottom and the area of cross-section is 72 m2 determine its depth.
Answer» Length of parallel sides of trapezium = 10 m and 6 m Distance between parallel sides of trapezium = x meter Area of trapezium = \(\frac{1}{2}\)(sum of sides) x distance between parallel sides 72 = \(\frac{1}{2}\)(10 + 6) x x x = \(\frac{72}{8}\) = 9 Therefore depth of river is 9 m

The cross - section of a canal is a trapezium in shape. If the canal is 10 m wide at the top 6 m wide at the bottom and the area of cross-section is 72 m2 determine its depth.

Answer»

Length of parallel sides of trapezium = 10 m and 6 m

Distance between parallel sides of trapezium = x meter

Area of trapezium = \(\frac{1}{2}\)(sum of sides) x distance between parallel sides

72 = \(\frac{1}{2}\)(10 + 6) x x

x = \(\frac{72}{8}\) = 9

Therefore depth of river is 9 m