Answer:
Length = 8 feet and Width = (x+3) feet
Length = 4 feet and Width = (2x+6) feet
Length = 2 feet and Width = (4x+12) feet
Step-by-step explanation:
We are given that,
Area of the rectangular sidewalk = (8x+24) feet²
Since, area of a rectangle = Length × Width
It is required to find three possible lengths and widths.
As, we can factor the given area in the following ways,
1. Area = (8x+24) = 8 × (x+3)
2. Area = (8x+24) = 4 × (2x+6)
3. Area = (8x+24) = 2 × (4x+12)
Thus, the three possible lengths and widths are given by,
1. Length = 8 feet and Width = (x+3) feet.
2. Length = 4 feet and Width = (2x+6) feet.
3. Length = 2 feet and Width = (4x+12) feet.