The height of a rectangular box is 7ft. The length is 5ft longer than twice the width x. The volume is 714ft cubed. Write the equation in terms of x that represents the given relationship

Step-by-step explanation:

Let x represent the width of the rectangular box.

The length is 5ft longer than twice the width x. This would be expressed as

2x + 5

The formula for determining the volume of a rectangular box is expressed as

Volume = length * width * height.

If the height of a rectangular box is 7ft and the volume is 714ft cubed, then the the equation in terms of x that represents the given relationship would be

7 * x * (2x + 5) = 714

7x (2x + 5) = 714

14x² + 35x = 714

14x² + 35x - 714 = 0