The perimeter of a basketball court is 108 meters and the length is 6 meters longer than twice the width. What are the length and​ width?

1 Answer
Jim G.
Jan 13, 2018

#"length "=38" metres and width "=16" metres"#

Explanation:

#"assuming the basketball court is rectangular in shape"#

#• " perimeter "=2l+2w#

#"where "l" is length and "w" is width"#

#rArrl=2w+6larrcolor(blue)"6 longer than twice the width"#

#rArr"perimeter "=2(2w+6)+2w#

#color(white)(xxxxxxxx)=4w+12+2w=6w+12#

#rArr6w+12=108larrcolor(blue)"perimeter is 108"#

#"subtract 12 from both sides"#

#6wcancel(+12)cancel(-12)=108-12#

#rArr6w=96#

#"divide both sides by 6"#

#(cancel(6) w)/cancel(6)=96/6#

#rArrw=16#

#"and "l=2w+6=(2xx16)+6=32+6=38#

#color(blue)"As a check"#

#(2xx38)+(2xx16)=76+32=108larr" True"#

#"hence length "=38" metres and width "=16" metres"#

Related questions
Impact of this question
1168 views around the world
You can reuse this answer
Creative Commons License