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Mathematics
Mathematics
Problem
The maximum area of the rectangle whose sides pass through the vertices of a given rectangle of sides
a
a
a
and
b
b
b
is (a)
2
(
a
b
)
2(ab)
2
(
ab
)
(b)
1
2
(
a
+
b
)
2
\frac{1}{2}(a+b)^2
2
1
(
a
+
b
)
2
(c)
1
2
(
a
2
+
b
2
)
\frac{1}{2}(a^2+b^2)
2
1
(
a
2
+
b
2
)
(d) none of these (a)
2
(
a
b
)
2(ab)
2
(
ab
)
(b)
1
2
(
a
+
b
)
2
\frac{1}{2}(a+b)^2
2
1
(
a
+
b
)
2
(c)
1
2
(
a
2
+
b
2
)
\frac{1}{2}(a^2+b^2)
2
1
(
a
2
+
b
2
)
(d) none of these
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