Solve for the given length: the length of a rectangle is 3 m longer than its width. the area of the rectangle is 154 m2. what is the width of the rectangle?

Let 
X-----------> is the length of rectangle
y----------> is the width of rectangle

 we know that
x=y+3-----------------> equation 1
A=x*y--------> x*y=154----------> equation 2
substituting 1 in 2

(y+3)*y=154-----------> y²+3y-154=0
y²+3y-154=0

using a graph tool----------> to calculate the quadratic equation
see the attached figure

the solution is
y=11 m
x=y+3--------> x=11+3---------> x=14 m

the answer is
the width is 11 m