Find the area of the region bounded by the lines $2 y + x = 8, x = 2$ and $x = 4$

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Solution

Consider the given lines.
$2 y + x = 8, x = 2, x = 4$
Area of the region bounded by these lines is
$= 2 \times 2 + \frac{1}{2} \times 1 \times 2$
$= 4 + 1$
$= 5$
Hence, this is the answer.

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