Answer:
36, 72, 59 ft
Explanation:
Let the length of the shortest side of the triangular flower bed be
x
feet.
Then the length of the second side is
2
x
and
the length of the third side is
x
+
23
The given perimeter is
167
f
t
hence:
x
+
2
x
+
x
+
23
=
167
4
x
+
23
=
167
4
x
=
167
−
23
4
x
=
144
x
=
144
4
=
36
2
x
=
2
⋅
36
=
72
x
+
23
=
36
+
23
=
59
The length of the three sides of the triangular flower bed are
36
f
t
,
72
f
t
and
59
f
t
.