SOLUTION: the length of a rectangular room is six times as long as the width. the perimeter is 84 yards. find the width.

Question 316201: the length of a rectangular room is six times as long as the width. the perimeter is 84 yards. find the width.
Answer by moshiz08(60) (Show Source): You can put this solution on YOUR website!
Length is six times the width: (eq 1)
Perimeter is the sum of the lengths of all four sides. Remember that for a rectangle, the opposite sides have the same length. There are two sides which have length L and two sides of W. The perimeter is .
Since , divide both sides by 14 to get .
Now we should check: Since W = 6, and L=6*W, we know that L=36. Then the perimeter is P=2L+2W=2*36+2*6=72+12=84, so it checks out.
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