So legnth is 7 more than 6 times width l=7+6w area=10 cm^2
lw=area
subsitute 7+6w for l (7+6w)(w)=10 7w+6w^2=10 subtract 10 from both sides 6w^2+7w-10=0 factor multiply 6 and -10 get -60 now find what 2 numbers multiply to get -60 and add to get 7 the answe ris -5 and 12 split up 7w into that 6w^2+7w-10=0 6w^2+12w-5w-10=0 group (6w^2+12w)+(-5w-10)=0 undistribute factors (6w)(w+2)+(-5)(w+2)=0 reverse distribute (ab+ac=a(b+c) (w+2)((6w)+(-5))=0 (w+2)(6w-5)=0 set each to zero w+2=0 subtract 2 w=-2 false, legnths cannot be negative
6w-5=0 add 5 6w=5 divide both sides by 6 w=5/6 subsitute l=7+6w l=7+6(5/6) l=7+5 l=12
