The length of a sand volleyball court is twice its width. The perimeter is 180 feet. What is the length and width of the sand volleyball court?

1 Answer
Apr 21, 2018

#"length "=60" feet and width "=30" feet"#

Explanation:

#"let the width "=w#

#"then length "=2wlarrcolor(blue)"twice the width"#

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

#color(white)(xxxxxxxxxx)=4w+2w=6w#

#"we are told the perimeter "=180" feet"#

#rArr6w=180larrcolor(blue)"solve for w"#

#"divide both sides by 6"#

#rArrw=180/6=30#

#rArr"width "=w=30" feet"#

#"and length "=2w=2xx30=60" feet"#