Arectangle is 5 times as long as it is wide. the perimeter is 70 cm. find the dimensions of the rectangle. round to the nearest tenth if neccasary.

L=5W

P=2(L+W), using L found above in this equation gives us:

P=2(5W+W)

P=2(6W)

P=12W

W=P/12, we are told that P=70

W=70/12

W=5 5/6, and since L=5W

L=25+25/6

L=29 1/6

So the length is 29 1/6 cm and the width is 5 5/6 cm.  If you wish to round to nearest tenths, length is 29.2 cm and width is 5.83 cm.

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