The rectangle has an area of .
Observe the figure:
\The length of the rectangle is .
The width of the rectangle is .
Find the length.
\Area of the rectangle is .
(Substitute
,
and
)
(Distibutive property:
)
(Subtract
from each side)
(Apply additive inverse property:
)
(Factors in the form of
)
(Take out the common factors)
(Group of the common terms)
and
(Separate the equations)
and
. (Simplify)
Hence the lenght is always positive.
\So, the length of the rectangle is .
Therefore, option (B) is right choice.
\Option (B) is right choice.