Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
k
>
4
k>4
k
>
4
, let
P
(
k
,
0
)
P(k,0)
P
(
k
,
0
)
,
Q
(
0
,
4
)
Q(0,4)
Q
(
0
,
4
)
,
R
(
4
,
0
)
R(4,0)
R
(
4
,
0
)
and
S
(
0
,
−
4
)
S(0,-4)
S
(
0
,
−
4
)
be points in the plane. What is
ar
(
△
P
Q
R
)
:
ar
(
△
P
Q
S
)
\operatorname{ar}(\triangle PQR):\operatorname{ar}(\triangle PQS)
ar
(
△
P
QR
)
:
ar
(
△
P
QS
)
? a)
(
k
+
4
)
:
2
k
(k+4):2k
(
k
+
4
)
:
2
k
b)
(
k
−
4
)
:
k
(k-4):k
(
k
−
4
)
:
k
c)
(
k
−
4
)
:
2
k
(k-4):2k
(
k
−
4
)
:
2
k
d)
(
k
−
4
)
:
4
k
(k-4):4k
(
k
−
4
)
:
4
k
Browse the problem library