Answer:
p
=
2
(
4
x
+
3
)
+
2
(
2
x
−
6
)
or simplified
p
=
12
x
−
9
Explanation:
By definition the perimeter of an object is the length of all its sides.
Also by definition, for a rectangle the 2 sides of the width are equal and the 2 sides of the length are equal.
Therefore the equation for the perimeter of a rectangle can be written as:
p
=
2
⋅
l
+
2
⋅
w
where
p
is the perimeter,
l
is the length and
w
is the width.
Substituting what was given about the length and width gives the equation:
p
=
2
(
4
x
+
3
)
+
2
(
2
x
−
6
)
Simplifying this equation gives:
p
=
8
x
+
3
+
4
x
−
12
p
=
8
x
+
4
x
+
3
−
12
p
=
12
x
−
9
Step-by-step explanation:
