Problema Solution

the perimeter of a rectangle is 62 m. The length is four more than two times the width. What is the length?

Answer provided by our tutors

let


l = the length of the rectangle, l>0


w = the width of the rectangle, w>0


P = 62 m the perimeter of the rectangle


The length is four more than two times the width:


l = 4 + 2w


The perimeter P = 2(l + w)


2(l + w) = 62 divide both sides by 2


l + w = 31


by solving the system of equations:


l = 4 + 2w


l + w = 31


we find:


l = 22 m


w = 9 m


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the length is 22 meters.