Question

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?

Answer 1

`"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"`