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okay in this video we are going to solve your weighted rates problem about a trapezoidal trough which is the geometry is a little more difficult than most related rates problems so letamp;#39;s get into it so we have a trough that is 10 meters long a cross section has the shape of an isosceles trapezoid that is 30 centimeters wide at the bottom 80 centimeters wide at the top and has a height overall of 50 centimeters so one of those dimensions is in meters and three of them are in centimeters Iamp;#39;m actually going to work in meters in this problem because the rate that weamp;#39;re given is in meter cubic meters per minute so if the trough is being filled water at rate of point two cubic meters per minute how fast is water level rising when the water is 30 centimeters deep so Iamp;#39;m gonna work the entire problem in meters and letamp;#39;s see how it goes so Iamp;#39;m gonna draw a picture of what I think this looks like so hereamp;#39;s my isosceles trapezoid and Iamp;#