Answer:
All possible dimensions are: 1ft × 24ft = 24[tex]ft^{2}[/tex], 2ft × 12ft = 24[tex]ft^{2}[/tex], 3ft × 8ft = 24[tex]ft^{2}[/tex], 4ft × 6ft = 24[tex]ft^{2}[/tex], 6ft × 4ft = 24[tex]ft^{2}[/tex], 8ft × 3ft = 24[tex]ft^{2}[/tex], 12ft × 2ft = 24[tex]ft^{2}[/tex], or 24ft × 1ft = 24[tex]ft^{2}[/tex].
Step-by-step explanation:
With the assumption that the sidewalk has a rectangular shape:
Area of a rectangle = length × width
From the question, the total area = 24 [tex]ft^{2}[/tex].
⇒ length × width = 24 [tex]ft^{2}[/tex]
So, all possible combinations are:
i. 1 ft × 24 ft = 24 [tex]ft^{2}[/tex]
ii. 2 ft × 12 ft = 24 [tex]ft^{2}[/tex]
iii. 3 ft × 8 ft = 24 [tex]ft^{2}[/tex]
iv. 4ft × 6 ft = 24 [tex]ft^{2}[/tex]
v. 6ft × 4ft = 24 [tex]ft^{2}[/tex]
vi. 8ft × 3ft = 24 [tex]ft^{2}[/tex]
vii. 12ft × 2ft = 24 [tex]ft^{2}[/tex]
viii. 24ft × 1ft = 24 [tex]ft^{2}[/tex]
