The width of a rectangle is 2 m less than one-third of the length x. The area is 144 m^2.
1 answer:
Answer:
L=18, W=8
Step-by-step explanation:
Given :
Area (A)=144
=LW
Where, L is length and W is width
According to given question ,
![W=\frac{1}{3} L-2](https://tex.z-dn.net/?f=W%3D%5Cfrac%7B1%7D%7B3%7D%20L-2)
Now,
A=LW
144=L![(\frac{1}{3} L-2)](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B3%7D%20L-2%29)
432=![L^{2} -6L](https://tex.z-dn.net/?f=L%5E%7B2%7D%20-6L)
![L^{2} -6L-432=0\\L^{2} -18L+24L-432\\(L+24) (L-18)\\L=-24\\and L=18](https://tex.z-dn.net/?f=L%5E%7B2%7D%20-6L-432%3D0%5C%5CL%5E%7B2%7D%20-18L%2B24L-432%5C%5C%28L%2B24%29%20%28L-18%29%5C%5CL%3D-24%5C%5Cand%20L%3D18)
Length can be in negative so L =18
And
![LW=144\\18W=144\\W=\frac{144}{18} \\W=8](https://tex.z-dn.net/?f=LW%3D144%5C%5C18W%3D144%5C%5CW%3D%5Cfrac%7B144%7D%7B18%7D%20%5C%5CW%3D8)
Therefore, Length of rectangle is 18 and Width is 8
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