SOLUTION: A rectangular room is 1.2 times as long as it is wide, and its perimeter is 27 meters. Find the dimension of the room.

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Question 659325: A rectangular room is 1.2 times as long as it is wide, and its perimeter is 27 meters. Find the dimension of the room.
Answer by ggwilliams(1) (Show Source):
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Perimeter of rectangle = 2(L + W) and that is equal to 27meters
Width = a meters and length = 1.2a meters
Now Perimeter = 2(1.2a + a) =2.4a + a = 27
So 2.4a + 2a = 27
4.4a = 27

4.4a/4.4 =27/4.4
a = 6.12
Therefore width = 6.12m and length =1.2 x 6.12 = 7.34 meters
Check 2(1.2 x 6.12) + 2(6.12)
=2 (7.34) + 12.24
= 14.68 + 12.24 = 26.92
And that's the closest we can get to 27 since the numbers are not whole numbers and we have to round off.hence 26.92 to the nearest whole number would be 27