Problema Solution
the length of a rectangle is seven less than four times the width. find the length if the area is 65 square units
Answer provided by our tutors
let
l = the length of the rectangle, l>0
w = the width of the rectangle, W>0
the length of a rectangle is seven less than four times the width
l = 4w - 7
l + 7 = 4w
w = (l + 7)/4
the area is 65 square units
l*w = 65
plug w = (l + 7)/4 into the last equation
l*(l + 7)/4 = 65
by solving we find
l = 13 units
click here to see the step by step solution of the equation
the length of the rectangle is 13 units.