A triangular rug has sides that are 5 ft and 4 ft long with an included angle of 79°. what is the area of this rug? enter your answer as a decimal in the box. round only your final answer to the nearest tenth. ft²

Given the sides of a triangular rug and an included angle between them, the area is calculated through the equation,

A = 0.5ab (cos C)

where a and b are the lengths of the side and C is the included angle.

A = 0.5 (5 ft) (4 ft) (cos 79°)

A = 1.9 ft²

Thus, the area of the triangular rug is approximately 1.9 ft².