Observe the figure:
\Area of the rectangle is .
Length of the rectangle is and width of the rectangle is
.
Standard form of the area of the rectangle is .
Find -value.
(Formula for area)
(Substitute
,
and
)
(Multiply)
(Subtract
from each side)
(Apply additive inverse property:
)
(Write as a pattern)
(Group with the factors)
(Factors of GCF)
(Take out common factor)
or
(Apply zero productive property)
The value of is
or
.
Dimensions cannot be negative.
\Hence consider .
Length of the rectangle is .
Width of the rectangle is .
The value of is
or
.
Length of the rectangle is .
Width of the rectangle is .