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.

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Question 803076: 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.

Answer by homeworkhedgehog(9) About Me  (Show Source):
You can put this solution on YOUR website!
We need to translate the first sentence into a mathy expression. We'll let L stand for length, and W width.
L+=+1.7%2AW
We know that the Perimeter is all the sides added up. So
P+=+L+%2B+L+%2B+W+%2B+W
We can substitute L = 1.7W into our equation for Perimeter:
P+=+%281.7W%29+%2B+%281.7W%29+%2B+W+%2B+W
and combine 'like' terms
P=5.4W
Now the question tells us that P = 25, so we can substitute THAT into the equation for Perimeter:
%2825%29=5.4W
and solve for W by dividing both sides by 5.4:
W=4.63 meters
We can find out what the length, L, is by multiplying W by 1.7
L=1.7%284.63%29
L=7.87 meters
We can check our work to see if all the sides add up to equal 25.
4.63%2B4.63%2B7.87%2B7.87
=25
So it checks out.