Problema Solution

A rectangular room is twice as long as it is wide, and its perimeter is 36 meters. Find the length of the room.

Answer provided by our tutors

let


l = the length of the room

w = the width of the room

P = 36 m is the perimeter


a rectangular room is twice as long as it is wide


l = 2w


the perimeter is 36 meters


P = 2(l + w)


2(l +w ) = 36 divide both sides by 2


l + w = 18


by solving the system of equations


l = 2w

l + w = 18


we find


l = 12 m


w = 6 m


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the length of the room is 12 meters.