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Mathematics
Mathematics
Problem
The area (in square metres) of a rectangular garden with perimeter
40
m
40\,\text{m}
40
m
can be written as
A
(
x
)
=
x
(
20
−
x
)
A(x)=x(20-x)
A
(
x
)
=
x
(
20
−
x
)
, where
x
(
0
≤
x
≤
20
)
x\,(0\le x\le20)
x
(
0
≤
x
≤
20
)
is the length of the garden. Find the value of
x
x
x
that gives the maximum area.
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