Answer:
width is 6 ft, length is 24 ft
Step-by-step explanation:
We can set up 2 equations to help us solve this.
Equation 1: "The area is 144 square feet" gives us
LW = 144 (area of a rectangle)
Equation 2: "the width is 1\4 of the length" give us
W = L/4
We can plug the second equation into the first equation...
Since W = L/4, we get
L(L/4) = 144 (W becomes L/4)
Now solve for L
L²/4 = 144
L² = 624 (multiply both sides by 4)
L = 24 ft (take the square root of each side)
Since L = 24, and W = L/4,
W = 24/6, so W = 6 ft
