8.4
(5
140m
150m
0
Calculate the area of the shaded region
11
180-29
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Answer:
The given equation is 3x+y=11 and x−y=1
Now, let us find atleast two solutions of each of the above equations, as shown in the following tables.
Table for 3x+y=11 or y=3x−11
Now, table for x−y=1 or y=x−1
Here, the lines intersecting at point C (3, 2)
The coordinates of the
vertices of △CBE are C (3, 2), B(0, 11)
and E(0, -1).
Area = $$\frac{1} {2}
\times base \times height$$
=
2
1
×12×3=(∴,base=(11−(−1))=12)
=18 sq.units
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