The area of a rectangle is 342 square units. Its length measures 19 units. Find the length of its diagonal. Round to the nearest tenth of a unit.

The length of the diagonal of the rectangle is approximately 26.2 units.

Explanation:

From Geometry we remember that the area of the rectangle (), in square units, is described by this formula:

(1)

Where:

- Width, in units.

- Length, in units.

If we know that and , then the width of the rectangle is:

And the length of the diagonal (), in units, is determined by the Pythagorean Theorem:

(2)

If we know that and , then the length of the diagonal is:

The length of the diagonal of the rectangle is approximately 26.2 units.