Answer:
[tex]Length = 5x + 3[/tex]
[tex]Width = x +1[/tex]
Step-by-step explanation:
Given
[tex]Area = 5x^2 + 8x + 3[/tex]
Required
Determine the dimensions
To do this, we simply factorize the given expression.
[tex]Area = 5x^2 + 8x + 3[/tex]
Expand
[tex]Area = 5x^2 + 5x +3x+ 3[/tex]
Factorize
[tex]Area = 5x(x + 1) +3(x+ 1)[/tex]
Factor out x + 1
[tex]Area = (5x +3) (x+ 1)[/tex]
Area is calculated as:
[tex]Area = Length * Width[/tex]
So:
[tex]Length = 5x + 3[/tex]
[tex]Width = x +1[/tex]
