the length of a rectangle is 2 meters more than its width. the area of the rectangle is 80 square meters. what is the length and width of the rectangle? a. length = 10 meters, width = 8 meters b. length = 20 meters, width = 4 meters c. length = 14 meters, width = 12 meters d. length = 8 meters, width = 6 meters
Let the width be w; Then the length is (w+2) A=LW A=(w+2)w A=\(w^{2}+2w\) 80=\(w^{2} +2w\) \(w^{2} +2w-80=0\) Solving by expansion; \(w^{2} +10w-8w-80\) =w(w+10)-8(w+10) =(w-8)(w+10) w= 8 Width is 8 and length is 10
