Answer:
52 inches
Explanation:
We know that the perimeter of a rectangle is equivalent to twice the width plus twice the length.
P
=
2
w
+
2
l
Since the length is 18 more then the width, we can rewrite
l
as
(
w
+
18
)
.
Plug in that in place of
l
and plug in 244 for the perimeter, and you can solve for the width.
244
=
2
w
+
2
(
w
+
18
)
Distribute:
244
=
2
w
+
2
w
+
36
Combine like terms:
244
=
4
w
+
36
Subtract 36 from each side:
208
=
4
w
Divide each side by 4:
52
=
w