A trough has a trapezoidal cross section with a height of 1 m and horizonta sides of width 12m and 1 m . Assume the length of the trough is 10 m . See the figure to the right. Complete parts (a) and (b) below.a. How much work is required to pump the water out of the trough (to the level of the top of the trough) when it is full? Use 1000kgm3 for the density of water and 9.8ms2 for the acceleration due to gravity. Draw a y-axis in the vertical direction (parallel to gravity) and use the midpoint o the bottom of one edge of the trough as the location of the origin. For 0y1, find the cross-sectional area A(y) in terms of y.A(y)=(Simplify your answer. Use integers or fractions for any numbers in the expression.)