Mathematics: The width of a rectangle is 2 m less than one-third of the length x. The area is 144 m^2.

The width of a rectangle is 2 m less than one-third

genyjoannerubiera

12.07.2021

L=18, W=8

Step-by-step explanation:

Given :

Area (A)=144 m^2 =LW

Where, L is length and W is width

According to given question ,

$W=\frac{1}{3} L-2$

Now,

A=LW

144=L $(\frac{1}{3} L-2)$

432= $L^{2} -6L$

$L^{2} -6L-432=0\\L^{2} -18L+24L-432\\(L+24) (L-18)\\L=-24\\and L=18$

Length can be in negative so L =18

And

$LW=144\\18W=144\\W=\frac{144}{18} \\W=8$

Therefore, Length of rectangle is 18 and Width is 8

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