Answer:
The width of the desk is 12 inches.
Step-by-step explanation:
Given:
The perimeter of the top of a desk is 54 inches.
The length of the desk is 15 inches.
Now, to find the width of the desk.
Let the width of the desk be [tex]x[/tex].
Putting the formula of perimeter to get the width:
[tex]Perimeter = 2(length + width)[/tex]
⇒[tex]54=2(15+x)[/tex]
⇒[tex]54=30+2x[/tex]
Subtracting both sides by 30 we get:
⇒[tex]24=2x[/tex]
Dividing both sides by 2 we get:
⇒[tex]12=x[/tex]
⇒[tex]x=12\ inches[/tex]
Therefore, the width of the desk is 12 inches.
