Question 813473: find the area of the region bounded by the lines: y=x/2, y=x, y=2
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! y = x/2
line through origin with slope 1/2
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y = x
line through origin with slope 1
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y = 2
horizontal line a y = 2
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the 3 lines form an obtuse triangle with base parallel to the line y = 2
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triangle dimensions:
h = 2
b = (y = x/2 at y = 2) - (y = x at y = 2)
b = (2 = x/2) - (2 = x)
b = (x = 4) - (x = 2)
b = (4) - (2)
b = 2
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a = (1/2)bh
a = (1/2)2*2
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Answer:
a = 2 sq.units
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