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Answer :

Given data:

The given figure is shown.

The area of the composite figure is,

[tex]\begin{gathered} A=(4\text{ ft)(4 ft)+}\frac{1}{2}(\text{4 ft+1.5 ft+1.5 ft)(}6\text{ ft)} \\ =(16+21)ft^2 \\ =37ft^2 \end{gathered}[/tex]

Thus, the area of the given figure is 37 sq-feet, so first option is correct.