SOLUTION: The length of a rectangle is twice the width.The perimeter is 84 cm more that the width.

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Question 508947: The length of a rectangle is twice the width.The perimeter is 84 cm more that the width.
Found 2 solutions by xdragonfight, MathTherapy:
Answer by xdragonfight(116) About Me  (Show Source):
You can put this solution on YOUR website!
length= 42
width=0
2(42)+2(0)=84
84=perimeter

width is 0 so perimeter is 84 more than width

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a rectangle is twice the width.The perimeter is 84 cm more that the width.

Let the width be W

Then length = 2W

Perimeter = 2(W) + 2(2W), or 2W + 4W, or 6W

Perimeter also = 84 + W

We can therefore say that: 6W = 84 + W

5W = 84

W, or width = 84%2F5, or highlight_green%2816.8%29 cm

Length = 2 * 16.8, or highlight_green%2833.6%29 cm


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Check
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Perimeter = 2W + 2L ---- 2(16.8) + 2(33.6) ---- 33.6 + 67.2 --- 100.8 cm

Perimeter = 84 + 16.8 ----- 100.8 cm

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