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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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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Answer 1 · 2018-03-21T08:52:42

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

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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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

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