Cross section

The cross-section ABCD of a swimming pool is a trapezium. Its width is AB=14 meters, the depth at the shallow end is 1.5 meters, and at the deep end is 8 meters. Find the area of the cross-section.

Correct answer:

A =  66.5 m²

Step-by-step explanation:

$$\begin{gathered} a=14\text{m} \\ {h}_1=1.5\text{m} \\ {h}_2=8\text{m} \\ h=(h_1+h_2)/2=(1.5+8)/2=\frac{19}{4}=4.75\text{m} \\ A=a\cdot h=14\cdot 4.75=66.5{\text{m}}^2 \end{gathered}$$

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