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?
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1 Answer
Mar 21, 2018
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"#
