Answer:Width is 6 meters and length is 7 meters
Step-by-step explanation:Let width be
x
and length be
y
. We know that the length of the rectangle is 5 less than twice its width. This can be written as:
y
=
2
x
−
5
We also know that the perimeter of the rectangle is 26 meters. The perimeter is the sum of all sides: 2 widths + 2 lengths.
P
=
2
x
+
2
y
26
=
2
(
x
+
y
)
x
+
y
=
13
We now have two equations which we can solve simultaneously. Substitute
y
=
2
x
−
5
into the second equation:
x
+
y
=
13
x
+
(
2
x
−
5
)
=
13
3
x
=
18
x
=
6
Now that we have a value for
x
(width), we can sub this value into the first equation to get
y
(length).
y
=
2
(
6
)
−
5
y
=
7
There are other methods you can use to solve simultaneous equations.
Hope this helps :)
