Question

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 1

Answer:

x (7+2x) = 372,

where 372 is the are of this rectangle, and $x$ is its width.

Step-by-step explanation:

The width of this rectangle is $x$. Twice that width will be equal to $2x$.

The length of this rectangle is seven more than twice the width of this rectangle, or seven more than $2x$. The length of this rectangle will thus equal to $7 + 2x$.

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 $x(7+2x)$.

For this rectangle, this area is equal to 372. In other words,

$x(7 + 2x) = 372$.

This equation about $x$ represents the relationship between the width, length, and the area of this rectangle.