Problema Solution
A rectangular room is 1.7 times as long as it is wide, and its perimeter is 25 meters. Find the dimension of the room.
length:_____meters
width:______meters
Answer provided by our tutors
Let
'l' be the length of the rectangular room
'w' be the width of the rectangular room
P = 2*(l + w) is the formula for the perimeter of the rectangle
l = 1.7*w ( 1.7 times as long as it is wide)
2*(l + w) = 25 (perimeter is 25 meters)
We need to find l and w such that l>0 and w>0.
Lets solve the system
l = 1.7*w
2*(l + w) = 25
2*(1.7*w + w) = 25
w = 25/5.4
w = 4.63 meters approximately
l = 7.871 meters approximately
length: 7.871 meters approximately
width: 4.63 meters approximately