Answer:
Width = 6k²
Length = 5k+1
Step-by-step explanation:
Given the area of a rectangle expressed as
A = 30k³ + 6k²
Get the greatest common factor
30k³ = (2 * 3 * k²) * k * 5
6k² = (2 * 3 * k²)
The common factor is the value in bracket i.e 2 * 3 * k² = 6k²
Width of the rectangle = 6k²
Get the length
A = LW
L = A/W
L = 30k³ + 6k²/6k²
L = 6k²(5k+1)/6k²
L = 5k + 1
Hence the length L = 5k+1
