Question : What is the area (in unit squares) of the triangle enclosed by the graphs of
Option 1: 2.5
Option 2: 3.5
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution :
The area of a triangle enclosed by two lines and the x-axis can be found by determining the points where the lines intersect the x-axis and each other.
The line
The line
The intersection of the lines
So, the three points of the triangle are
The base of the triangle is the distance between the points
The height of the triangle is the y-coordinate of the point
The area of the triangle =
Hence, the correct answer is 3.
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