Answer:
[tex](x + 6)(x - 6)[/tex]
Step-by-step explanation:
Given
See attachment for soccer field
Required
The possible dimension of the field
From the attachment, we have:
[tex]Area = x^2 - 36[/tex]
[tex]Length = x +a[/tex]
[tex]Width = x + b[/tex]
So, we have:
[tex]Length * Width = Area[/tex]
This gives:
[tex](x + a)(x + b) = x^2 - 36[/tex]
Express 36 as 6^2
[tex](x + a)(x + b) = x^2 - 6^2[/tex]
Express as difference of two squares
[tex](x + a)(x + b) = (x + 6)(x - 6)[/tex]
Hence, the dimension is: [tex](x + 6)(x - 6)[/tex]
