Step 1
The area of the rectangular field is given as;
[tex]A=\text{length(l)}\times width(w)=lw[/tex]If the dimensions of the field are multiplied by 3, then we will have;
[tex]\begin{gathered} 3(\text{length)}=3l \\ 3(\text{width)}=3w \end{gathered}[/tex]Step 2
Find by how many times the area of the enlarged field is bigger than the area of the original field.
[tex]\begin{gathered} \text{Area of enlarged field= 3}l\times3w=9lw \\ \text{Number of times the enlarged field is bigger=}\frac{9lw}{lw}=9 \end{gathered}[/tex]Therefore the area of the enlarged field is 9 times the area of the original field.
