Answer:
L=18, W=8
Step-by-step explanation:
Given :
Area (A)=144 [tex]m^2[/tex] =LW
Where, L is length and W is width
According to given question ,
[tex]W=\frac{1}{3} L-2[/tex]
Now,
A=LW
144=L[tex](\frac{1}{3} L-2)[/tex]
432=[tex]L^{2} -6L[/tex]
[tex]L^{2} -6L-432=0\\L^{2} -18L+24L-432\\(L+24) (L-18)\\L=-24\\and L=18[/tex]
Length can be in negative so L =18
And
[tex]LW=144\\18W=144\\W=\frac{144}{18} \\W=8[/tex]
Therefore, Length of rectangle is 18 and Width is 8
