prielpinhasov prielpinhasov

21-01-2015
Mathematics

Answered

the length of a flag is 0.3 foot less than twice its width. if the perimeter is 14.4 feet longer than the width, find the dimensions of the flag.

Answer :

21-01-2015

[tex]x-\ length\\ y-\ width\\\\ x+0.3=2y\ \ \ \ \ | subtract\ 0.3\\x=2y-0.3\\ perimeter=2x+2y\\ 2x+2y-14.4=y\\\\ 2*(2y-0.3)+2y-14.4=y\\ 4y-0.6+2y-14.4=y\\ 6y-15=y\ \ \ | add\ 15\\ 6y=15+y\ \ | subtract\ y\\ 5y=15\ \ \ | divide\ by\ 5\\ y=3\\ x=2y-0.3=2*3-0.3=6-0.3=5.7\\\\ Dimensions:\ length=5.7\ feet\, width=3\ feet.[/tex]

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