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) (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.
We know that the Perimeter is all the sides added up. So
We can substitute L = 1.7W into our equation for Perimeter:
and combine 'like' terms
Now the question tells us that P = 25, so we can substitute THAT into the equation for Perimeter:
and solve for W by dividing both sides by 5.4:
meters
We can find out what the length, L, is by multiplying W by 1.7
meters
We can check our work to see if all the sides add up to equal 25.
=
So it checks out.
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