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Mathematics
Problem
Triangle
P
Q
R
PQR
P
QR
has vertices
P
(
1
,
2
)
P(1,2)
P
(
1
,
2
)
,
Q
(
4
,
6
)
Q(4,6)
Q
(
4
,
6
)
and
R
(
5
,
2
)
R(5,2)
R
(
5
,
2
)
. A transformation sends every point
(
x
,
y
)
(x,y)
(
x
,
y
)
to
(
2
x
,
3
y
)
(2x,3y)
(
2
x
,
3
y
)
. Determine the area of the image triangle
P
′
Q
′
R
′
P'Q'R'
P
′
Q
′
R
′
(in square units).
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