Straight Lines
Area of Parallelogram
Premium Question
Grade 11

Question:

Find the area of the parallelogram formed by the lines $y = x$, $y = x + 1$, $y = 2x$ and $y = 2x + 1$.

Step-by-Step Solution

Key Concept: Use the formula: area $= 1/|m - n|$ where $m, n$ are the slopes of the two pairs of parallel lines. Alternatively, find the four vertices by intersecting adjacent sides and compute directly.
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Correct Answer: 1

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