The lines and and the -axis bound a triangle. What is the area of the triangle?
Answer and explanation
Correct answer: C.
- '' multiplies base by height without the factor of and uses an incorrect base of .
- '' forgets the factor in the triangle area formula ().
- '' calculates the base as instead of .
- '' forgets the factor in the triangle area formula ().
- '' calculates the base as instead of .
- Step 1: Find the intersection vertex of the two lines: . The -coordinate is , which serves as the height of the triangle.
- Step 2: Find the -intercepts: for , ; for , .
- Step 3: Calculate the base length along the -axis: . Compute triangle area: .
Answer
.
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