Answer:
Width = 8 feet
Length = 15 feet
Step-by-step explanation:
Let length be l and the width be w. We can write 2 equations and solve for length and width of the hallway.
1. l = 2w - 1
2. lw = 120
Putting Equation 1 into Equation 2, we can solve for w:
[tex]lw=120\\(2w-1)w=120\\2w^2-w-120=0\\w = 8,-\frac{15}{2}[/tex]
Width can't be negative, so we take w = 8
Using equation 1, we get l:
l = 2(8) - 1
l = 15
