Answer :
The correct equation to find the width (w) of the rectangle is: B. [tex]5w^2 - 4w = 197[/tex]
Let's set up an equation to find the width (w) of the rectangle.
Let the width of the rectangle be "w" units.
According to the given information, the length of the rectangle is "4 units less than 5 times its width," which can be expressed as (5w - 4) units.
The area of a rectangle is given by the formula: Area = length × width.
In this case, the area is 197 square units. So, we have the equation:
Area = (5w - 4) × w = 197
Now, let's solve for w: [tex]5w^2 - 4w = 197[/tex]
Thus, the correct equation to find the width (w) of the rectangle is: [tex]5w^2 - 4w = 197[/tex]
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