Answer:
We can check which dimensions are possible for the rectangle by finding the product of the width and length and seeing if it equals the given area of (24x + 30) square units.
Let's check each option:
width 6 units; length (4x + 5) units
Area = 6(4x + 5) = 24x + 30
This option is possible.
width 4 units; length (6x + 7) units
Area = 4(6x + 7) = 24x + 28
This option is not possible since the area is not equal to (24x + 30).
width 3 units; length (21x + 27) units
Area = 3(21x + 27) = 63x + 81
This option is not possible since the area is not equal to (24x + 30).
width 8 units; length (3x + 4) units
Area = 8(3x + 4) = 24x + 32
This option is not possible since the area is not equal to (24x + 30).
width 2 units; length (15 + 12x) units
Area = 2(15 + 12x) = 30 + 24x
This option is not possible since the area is not equal to (24x + 30).
Therefore, the only possible dimension for the rectangle is width 6 units and length (4x + 5) units.