Problema Solution
Julia's soybean field is 3 m longer than it is wide. To increase her production, she plans in increase both the length and width by 2m. If the new filed is 46 m larger than the old field, then what are the dimensions of the old field.
Answer provided by our tutors
let
w = the width of the old filed
l = the length of the old field
w*l = the area of the old field
soybean field is 3 m longer than it is wide
l = w + 3
increase both the length and width by 2m thus the new dimensions will be
w + 2 = the width of the new field
l + 2 = the length of the new field
(w + 2)(l + 2) = the area of the new field
the new filed is 46 m^2 larger than the old field
(w + 2)(l + 2) = 46 + w*l
plug l = w + 3 into the last equation
(w + 2)(w + 3 + 2) = 46 + w(w + 3)
by solving the quadratic equation we find
w = 9 m
click here to see the step by step solution of the quadratic equation
l = w + 3 = 9 + 3 = 12 m
the dimensions of the filed are 12 m and 9 m.