Discussion
The area between the two isohyets 40cm and 60cm is 100km2, and that between 55cm and 45 cm is 100km2 .What is the average depth of annual precipitation (use isohyeatal method) over the basin of 200 km2?
Answer: A
The average depth is 50 cm.
In the isohyetal method each area between two isohyets is given the mean of their values, and the results are weighted by area.
\[ \begin{aligned} P_1 &= \tfrac{40 + 60}{2} = 50,\ P_2 = \tfrac{55 + 45}{2} = 50 \\ P &= \frac{100 \times 50 + 100 \times 50}{200} = 50\ \text{cm} \end{aligned} \]
500 and 550 come from adding without dividing by the area properly, and 5 cm from a slip of a decimal place.
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