Question $3$:

Design $($find depth, width, and cross$-$sectional area$)$ a trapezoidal concrete$-$lined channel $(n=0\mathrm{.}015)$ to convey $150$ cfs on a slope of $0\mathrm{.}25\%.$ Assume the use of a best hydraulic section for the design. Find the following geometric properties in US customary unit. Show all the calculations in detail up to up to two decimal places $(25$ points$)$

i$.$ Normal depth $(12$ points$)$

ii$.$ Bottom width $(3$ points$)$

iii. Top width $(2$ points$)$

iv$.$ Cross$-$sectional area $(2$ points$)$

v$.$ Wetted perimeter $(2$ points$)$

vi$.$ Hydraulic depth $(2$ points$)$

vii. Froude number $(2$ points$)$