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in Definite Integrals by (34.9k points)
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Using integration, find the area of the region bounded by the lines 4x – y + 5 = 0, x + y – 5 = 0 and x – 4y + 5 = 0.

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by (34.4k points)
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Best answer

We have given

4x - y + 5 = 0.....(i)

x + y - 5 = 0......(ii)

x - 4y + 5 = 0.....(iii)

By solving equations (i) and (iii), we get (-1, 1) and by solving (ii) and (iii), we get (3, 2)

\(\therefore\) Area of region bounded by the lines is given by:

\(=\frac{15}8+\frac{45}8=\frac{15}2\) sq units.

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