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The length of a rectangle is six times its width. If the perimeter of the rectangle is 70, find its length and width.

The length of a rectangle is six times its width. If the perimeter of the rectangle is 70, find its length and width.
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3 votes
The length of a rectangle is six times its width.

If the perimeter of the rectangle is 70, find its length and width.

asked
User Blackmind
by
8.7k points

1 Answer

2 votes

Answer:


l = 6w - - - - 1 \\ \\ 2l + 2w = 70 - - - - - 2 \\ \\ solving \: simultaneously \\ put \: l = 6w \: into \: 2 \\ 2(6w) + 2w = 70 \\ 12w + 2w = 70 \\ 14w = 70 \\ w = 5 \\ \\ l = 6w \\ l = 6(5) \\ l = 30

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User Lautremont
by
7.8k points
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