To find the length of the rectangle, we can use the Pythagorean Theorem. The Pythagorean Theorem relates the width $w$, length $l$, and diagonal $d$ of a rectangle as follows:

$d^2 = w^2 + l^2$

Where:

• $w = 6 \, \text{inches}$
• $d = 15 \, \text{inches}$
• $l$ is the length of the rectangle (which we need to find).

Plugging in the values:

$15^2 = 6^2 + l^2$ $225 = 36 + l^2$ $225 - 36 = l^2$ $l^2 = 189$ $l = \sqrt{189} \approx 13.75 \, \text{inches}$

Thus, the length of the rectangle is approximately 13.7 inches.

The closest answer is B. 13.7 inches.

Would you like further details or have any questions?

Here are 5 related questions:

1. How does the Pythagorean theorem apply to different shapes?
2. What happens if the rectangle were a square?
3. Can the length ever be larger than the diagonal?
4. How would the formula change for a 3D object, such as a cuboid?
5. How would the solution change if the width was increased?

Tip: When dealing with right triangles, the diagonal (hypotenuse) is always the longest side.