Problema Solution
The area of a rectangle is 14m^2 , and the length of the rectangle is 3m less than twice the width. Find the dimensions of the rectangle
Answer provided by our tutors
let
l = the length of the rectangle, l>0
w = the width of the rectangle, w>0
the area of a rectangle is 14 m^2
l*w = 14
the length of the rectangle is 3 m less than twice the width
l = 2w - 3
plug l = 2w - 3 into l*w = 14
(2w - 3)*w = 14
by solving we find
w = 3.5 m
click here to see the step by step solution of the quadratic equation
l = 2*3.5 - 3
l = 4 m
the dimensions of the rectangle are 4 m and 3.5 m.