The length of a rectangle is 5times it's width. The perimeter is at most 104 meters. Find the greatest possible dimensions of the rectangle by writing and solving an inequality

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asked Jun 3, 2015 28.9k views

4 votes

The length of a rectangle is 5times it's width. The perimeter is at most 104 meters. Find the greatest possible dimensions of the rectangle by writing and solving an inequality

Mathematics
middle-school

Metavida asked

by Metavida

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1 Answer

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$x-\ width\\\\5x-\ length\\\\ perimeter= 2width+2length\\\\104\geq2x+2*5x\\\\ 104\geq12x\ \ \ \ | divide by\ \\\\ x\leq 8 (2)/(3)\\\\ The\ greatest\ dimensions:\\ 16(4)/(3)\ m\ and\ 43(1)/(3)m$