For this case we have that by definition, the area of a rectangle is given by:
Where:
w: Is the width of the rectangle
l: is the length of the rectangle
According to the data of the statement we have:
Substituting:
Substituting the values:
Thus, we have two roots:
w_ {1} = \ frac {5+ \ sqrt {157} {2}} = 8.77
w_ {2} = \ frac {5+ \ sqrt {157} {2}} = - 3.77
We choose the positive value. So the width of the rectangle is approximately 8.77 meters and the length is 3.77 meters
Answer: