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

x (7+2x) = 372,

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

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.