Length(l)= 2w+6 Width(w)= w Area(A)= 140 m² Area= l*w 140 = l*w 140= (2w+6)w 140= 2w²+6w( divide each side by 2) 70= w²+3w w²+3w -70= 0 (^^^^^^Factor out expression) (w-7)(w+10)= 0 (set each expression equal to zero and use the positive answer as the value for "w"(because a negative width is impossible))
w-7=0 w=7m
w+10=0 w= -10m (Impossible for a physical measurement to negative: therefore This "w" value is incorrect)
Use w=7 to find "l" l= 2w+6 l=2(7)+6 l=14+6 l=20 m
Answer: The dimensions of a rectangle are length and by width. For this rectangle the dimensions are 20 meters by 7 meters. (width= 7 meters) (length= 20 meters)
