Question

the shape of the cross-section of a canal is a trapezium . if the canal is 10 m wide at the bottom and the area of its cross-section in 640 m^2 , find the depth of the canal.

Answer 1

Step-by-step explanation:

width at the top is not given

Answer 2

Correction in the given question:-

The shape of the cross section of a canal is a trapezium. If the canal is 10 m wide at the top, 6 m wide at the bottom and the area of its cross section is  640 m2 , find the depth of the canal.

Solution:-

Area of the canal = ${640}{m}^2$

Area of trapezium = $\frac{1}{2}$ x (Sum of parallel sides) x (Distance between them)

640 = $\frac{1}{2}$ x (10+6) x h

$\frac{1280}{16}$ = h

h = 80 m

Therefore, the depth of the canal is 80 m.