ANSWER
The area of the triangle is 6.64 square feet.
EXPLANATION
The area of the given triangle is calculated using the formula
![Area = (1)/(2) ab \sin(C)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kbgv7q122jm3tnkigglvgrtwmgwgtrnn4k.png)
where C=62° is the included angle.
a=4.7 ft and b=3.2 ft.
We plug in the values into the formula to get:
![Area = (1)/(2) * 4.7 * 3.2\sin(62 \degree)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uy1tzraaj81cpfswmp7hsrrfzoh2zmz412.png)
Area=6.64 ft² to the nearest hundredth.