Problema Solution

a rectangular room is three times as long as it is wide ans its perimeter is 48 meters find the length of the room

Answer provided by our tutors

let


l = the length of the rectangular room, l>0


w = the width of the rectangular room, w>0


a rectangular room is three times as long as it is wide:


l = 3w


its perimeter is 48 meters:


2(l + w) = 48


by solving the system of equations:


l = 3w


2(l + w) = 48


we find:


l = 18 m


w = 6 m


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the length of the room is 18 meters.