Question #7b4ec

1 Answer
Jim G.
Feb 11, 2018

#42,84" and "66#

Explanation:

#"let the length of the shortest side "=s#

#"then the second side "=2slarrcolor(blue)"twice the shortest"#

#"the third side "=s+24larrcolor(blue)"24 more than the shortest"#

#rArr"perimeter "=s+2s+s+24=4s+24#

#"now perimeter "=192#

#rArr4s+24=192#

#"subtract 24 from bpth sides"#

#4scancel(+24)cancel(-24)=192-24#

#rArr4s=168#

#"divide both sides by 4"#

#(cancel(4) s)/cancel(4)=168/4#

#rArrs=42,2s=2xx42=84" and "s+24=66#

#"the sides are "42,84" and "66" feet"#

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