Answer:
The dimensions are (7m-3) by (7m-3)
Step-by-step explanation:
We have the area of the rectangular field to be:
[tex]49 {m}^{2} - 42m + 9[/tex]
We need to factorize this expression.
Let us rewrite to obtain:
[tex] {(7m)}^{2} - 2(7 \times 3)m + {3}^{2} [/tex]
We can easily see that the expression is actually a perfect square trinomial.
This gives us:
[tex](7m - 3)^{2} [/tex]
Or
[tex](7m - 3)(7m - 3)[/tex]
