A rectangular field is 4 times as long as it is wide. If the perimeter of the field is 500 yards what are the fields dimensions?

1 Answer
Jim G.
Mar 21, 2018

#"length "=200" yards and width "=50" yards"#

Explanation:

#"let the width "=w#

#"then length "=4wlarrcolor(blue)"4 times the width"#

#• " perimeter "=(2xx"length")+(2xx"width")#

#color(white)(xxxxxxxxxx)=8w+2w=10w#

#"now perimeter "=500" yards"#

#rArr10w=500#

#"divide both sides by 10"#

#(cancel(10) w)/cancel(10)=500/10#

#rArrw=50" yards "larrcolor(blue)"width"#

#rArr4w=4xx50=200" yards"larrcolor(blue)"length"#

#color(blue)"As a check"#

#(2xx50)+(2xx200)=100+400=500larr"Correct"#

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