Answer:
Step-by-step explanation:
The region is limited within the triangle.
Vertices are the intersection of the three lines.
- 3x - 6 = -2x + 8 ⇒ 5x = 14 ⇒ x = 2.8 ⇒ y = 2.4 point (2.8, 2.4)
- x = 5 ⇒ y = 3*5 - 6 = 9 point (5, 9)
- x = 5 ⇒ y = -2*5 + 8 = -2 point (-2, 9)
Plot the points. See the picture it makes the next step easy.
Base of the triangle has the length:
The height has the length:
The area:
- A = 1/2bh = 1/2*2.2*11 = 12.1 square units
