Answer:
(d) 223.6 square units
Explanation:
You want the area of the triangle with sides 30 and 34, and and enclosed angle of 26°.
Area
The formula for the area of the triangle is ...
Area = 1/2(ab·sin(C))
where a, b are side lengths, and C is the angle between them.
Application
Using the given numbers, we find the area to be ...
Area = 1/2(30·34·sin(26°)) = 510·sin(26°) ≈ 223.6 . . . square units
The area of the triangle is about 223.6 square units.