The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 46 meters and its length is 2 meters more than twice its width. What is the length and width?
1 Answer
May 12, 2018
Explanation:
#"we are given that the perimeter (P)"#
#P=2(l+w)" and "P=46#
#"where length is "l" and width is "w#
#"we are also told that length is 2 more than twice width"#
#rArrl=2w+2#
#rArrP=2(2w+2+w)=2(3w+2)=6w+4#
#"equating perimeters gives"#
#6w+4=46#
#"subtract 4 from both sides and divide by 6"#
#rArr6w=46-4=42#
#rArrw=42/6=7larrcolor(blue)"width"#
#rArrl=(2xx7)+2=16larrcolor(blue)"length"#
