Answer:
The answer to your question is width = 6 ft; length = 24 ft
Step-by-step explanation:
Data
Area = 144 ft²
width = w
length = l
The width is 1/4 of the length
Formula
Area = width x length = w x l
Length = 4 width l = 4w
Process
1.- Substitute length in the first equation
Area = w(4w)
Simplify
Area = 4w²
2.- Solve for w
w = [tex]\sqrt{\frac{Area}{4}}[/tex]
Substitution
w = [tex]\sqrt{\frac{144}{4}}[/tex]
Simplification
w = [tex]\sqrt{36}[/tex]
Result
w = 6 ft
3.- Find l
l = 4(6)
l = 24 ft
