Problema Solution
a rectangle has a length 4 m less than twice the width. when 3m are added to the width, the resulting figure is a square with 100 m ^2. find the dimension of the original rectangle.
Answer provided by our tutors
let
x = the width of the rectangle, x>0
2x - 4 = the length of the rectangle
when 3m are added to the width
x + 3 = 2x - 4
by solving we find:
x = 7 m
click here to see the step by step solution of the equation:
we can also use the fact that the resulting figure is a square with 100 m ^2:
(x + 3)(2x - 4) = 100
by solving we find:
x = 7 m
click here to see the step by step solution of the equation:
2*7 - 4 = 10 m
the dimensions of the original rectangle are: the width is 7 m and the length is 10 m.