A trapezoidal gate in a dam that is 5 feet wide at the top, 3 feet wide at the bottom, and 4 feet tall is submerged in water (weight density 62.4 lbs/ft3) as shown in the figure. Find the force on the gate when the surface of the water is 2 feet above the top of the gate. 
Definitions:
Histogram
A graphical representation of data using bars of different heights to show the frequency of data in different intervals.
Interquartile Range
The difference between the 75th and 25th percentiles of a data set, representing the spread of the middle 50% of values.
25th Percentile
The value below which 25% of the observations in a group of data fall, commonly referred to as the first quartile.
75th Percentile
A value below which 75% of the data falls, often used in statistical analysis to measure data distribution.
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