SOLUTION: The perimeter of a rectangle is 864 feet. The ratio of the length to the width is 1:6. Find the length and the width.

Algebra ->  Rectangles -> SOLUTION: The perimeter of a rectangle is 864 feet. The ratio of the length to the width is 1:6. Find the length and the width.      Log On


   

Question 1132906: The perimeter of a rectangle is 864 feet. The ratio of the length to the width is 1:6. Find the length and the width.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +L+ = the length in ft
Let +W+ = the width in ft
-----------------------------------
+2L+%2B+2W+=+864+
+L+%2B+W+=+432+
and
+L%2FW+=+1%2F6+
Multiply both sides by +6W+
+6L+=+W+
Now I can say:
+L+%2B+6L+=+432+
+7L+=+432+
+L+=+61.714+
and
+W+=+6L+
+W+=+6%2A61.714+
+W+=+370.286+
-------------------------
The length is 61.714 ft
The width is 370.286 ft
-------------------------------
check:
+L%2FW+=+1%2F6+
+61.714%2F370.286+=+1%2F6+
+1%2F6.0000324+=+1%2F6+
error due to rounding off -OK