Question

Find the area of the region bounded by the line y=3x-6 and line y=-2x+8 and the line x=5

Answer 1

Answer: x=536

Explanation:

Answer 2

• 12.1 square units

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:

• 9 - (-2) = 11 units

The height has the length:

• 5 - 2.8 = 2.2

The area:

• A = 1/2bh = 1/2*2.2*11 = 12.1 square units