A rainstorm hit Portland, Maine, in October 1996, resulting in record rainfall. The rainfall rate R(t) on October 21 is recorded, in centimeters per hour, in the following table, where t is the number of hours since midnight. Compute the total rainfall during this 24-hour period and indicate on a graph how this quantity can be interpreted as an area.

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t (h) R(t) (cm/h) 0-2 2-4 4-9 0.5 0.3 1.0 9-12 2.5 12-20 1.5 20-24 0.6