The length of a rectangle is 7 more than twice the width x . The area is . 372. a) Write an equation in terms of x that represents the given relationship.The equation is

Answer:x (7+2x) = 372,where 372 is the are of this rectangle, and [tex]x[/tex] is its width.Step-by-step explanation:The width of this rectangle is [tex]x[/tex]. Twice that width will be equal to [tex]2x[/tex]. The length of this rectangle is seven more than twice the width of this rectangle, or seven more than [tex]2x[/tex]. The length of this rectangle will thus equal to [tex]7 + 2x[/tex].The area of a rectangle is equal to the product of its width and its length. The width of this rectangle times its length will be equal to [tex]x(7+2x)[/tex]. For this rectangle, this area is equal to 372. In other words,[tex]x(7 + 2x) = 372[/tex].This equation about [tex]x[/tex] represents the relationship between the width, length, and the area of this rectangle.