Question

Draw the graphs of the equations x + y = 5, y = - 2 and x = 1 on the same Cartesian

plane. Shade the region bounded by these graphs, name the figure obtained and find its area.


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Answer 1

The graph is attached in the figure where the area between the curves has been shaded. As can be seen, the triangle formed is a right triangle whose lengths of its legs is 7. Therefore, its area will be:

`A =(7\cdot 7)/(2) = (49)/(2) = 24.5\;u^2`