Final answer:
The area of triangle NOP, with side o as 92 cm, side p as 23 cm, and angle N as 138 degrees, is found using the formula for the area of an oblique triangle= -241.27
Step-by-step explanation:
The question is regarding the calculation of the area of a triangle given some of its side lengths and an angle between them.
To calculate this area, we can use the formula for an oblique triangle: area = 1/2 × b × c × sin(A), where b and c are the lengths of the sides, and A is the included angle.
In this case, side 'o' = 92 cm, side 'p' = 23 cm, and the angle N = 138 degrees.
Thus, the area is 1/2 × 92 cm × 23 cm × sin(138°)=-241.27