Answer:
The width of the rectangle is 7 feet.
Step-by-step explanation:
Given:
The perimeter of a rectangle is 54 feet, and the length is 13 feet more than the width.
Now, to find the width of the rectangle.
Let the width be [tex]x.[/tex]
So, the length is [tex]13+x.[/tex]
Perimeter = 54 feet.
Now, to get the width we put formula:
[tex]Perimeter=2(length+width)[/tex]
[tex]54=2(13+x+(x))\\54=2(13+x+x)[/tex]
[tex]54=2(13+2x)[/tex]
[tex]54=26+4x[/tex]
Subtracting both sides by 26 we get:
[tex]28=4x[/tex]
Dividing both sides by 4 we get:
[tex]7=x\\x=7\ feet.[/tex]
Therefore, the width of the rectangle is 7 feet.
