SOLUTION: the length of a recreation room is 2.1 m longer than its width if the permiter of the room is 20.6 m what are the dimensions.thanks you very much

Algebra ->  Length-and-distance -> SOLUTION: the length of a recreation room is 2.1 m longer than its width if the permiter of the room is 20.6 m what are the dimensions.thanks you very much      Log On


   

Question 607410: the length of a recreation room is 2.1 m longer than its width if the permiter of the room is 20.6 m what are the dimensions.thanks you very much
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for perimeter is +P+=+2L+%2B+2W+
given:
+L+=+W+%2B+2.1+ m
+P+=+20.6+ m
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By substitution,
+20.6+=+2%2A%28+W+%2B+2.1+%29+%2B+2w+
+20.6+=+2W+%2B+4.2+%2B+2W+
+4W+=+20.6+-+4.2+
+4W+=+16.4+
+W+=+4.1+
+L+=+W+%2B+2.1+
+L+=+4.1+%2B+2.1+
+L+=+6.2+
the dimensions are 4.1 x 6.2 m2
check:
+P+=+2L+%2B+2W+
+20.6++=+2%2A6.2+%2B+2%2A4.1+
+20.6+=+12.4+%2B+8.2+
+20.6+=+20.6+
OK