Problema Solution

A room is 1.5 times long as it is wide and its perimeter is 25. Find the find the dimensions of the room.

Answer provided by our tutors

let


w = the width of the room, w>0

l = the length of the room, l>0


room is 1.5 times long as it is wide


l = 1.5*w


the perimeter is 25


2*(w + l) = 25


by solving the system of equations


l = 1.5*w

2*(w + l) = 25


we find


w = 7.5


l = 5


the dimensions of the room are 7.5 and 5.