The perimeter of a rectangle deck is 175 feet.The length of the deck,L, is 6 feet longer than 2 times the width, w. Determine th

e length and width, in feet, of the deck.

Mathematics

1 answer:

givi [52]3 years ago

8 0

$x-\ length\\y-\ width\\\\
Perimeter=2x+2y\\\\
175=2x+2y\\
x=2y+6\\\\
175=2(2y+6)+2y\\
175=4y+12+2y\\
175=6y+12\ \ \ |Subtract\ 12\\
163=6y\ \ \ |Divide\ by\ 6\\
y=27,17feet\\\\
x=2*27,17+6=60,34feet\\\\
Length=60,34 \ feet\ and\ width=27,17\ feet.$

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