Problema Solution

Find the width and the length of a rectangle,if length is 4 meters less than 3 times the width,and the perimeter is 16

Answer provided by our tutors

let


l = the length of the rectangle, l>0


w = the width of the rectangle, w>0


length is 4 meters less than 3 times the width


l = 3w - 4


the perimeter is 16:


2(l + w) = 16


by solving the system of equations:


l = 3w - 4


2(l + w) = 16


we find:


l = 5


w = 3


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the length is 5 and the width is 3.