The area (in sq. unit) of the triangle formed by the three

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The area (in sq. unit) of the triangle formed by the three graphs of the equations x = 4, y = 3, and 3x + 4y = 12, is

1. 12
2. 10
3. 6
4. 8

Correct Option: C

Here , x = 4 ....... (1)
y = 3 ......... (2)
3x + 4y = 12 ....... (3)
Putting x = 0 in 3rd equation we get y = 4
Putting y = 0 in 3rd equation we get x = 3
The triangle will be formed by joining the points (3, 0) and (0, 4). So,
base = 3 and altitude = 4

Area =	1	× b × h
	2

⇒ Area =	1	× 3 × 4 = 6
	2