What is the area (in unit squares) of the triangle encolsed by the graphs of 2x + 5y = 12, x + y = 3 and the x - axis?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 3.
For 2x + 5y = 12,
| x | 1 | 6 |
| y | 2 | 0 |
x + y = 3
| x | 0 | 3 |
| y | 3 | 0 |
y = 0
Coordinates of the triangle,
(1,2) , (3,0) and (6,0)
Area of triangle = 1/2 × base × height.
⇒ 1/2 × 3 × 2 = 3 unit2.