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Mathematics
Problem
A triangle in the plane has area
8
square units
8\text{ square units}
8
square units
. It is mapped to a new triangle by the transformation
(
x
,
y
)
↦
(
2
x
+
3
y
+
1
,
−
x
+
4
y
−
2
)
(x,y)\mapsto\bigl(2x+3y+1,\,-x+4y-2\bigr)
(
x
,
y
)
↦
(
2
x
+
3
y
+
1
,
−
x
+
4
y
−
2
)
. Determine the area of the image. a)
64
square units
64\text{ square units}
64
square units
b)
88
square units
88\text{ square units}
88
square units
c)
11
square units
11\text{ square units}
11
square units
d)
40
square units
40\text{ square units}
40
square units
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