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The problem involves a square placed diagonally inside a rectangle, and we are tasked with finding the value of \( X \), which is the horizontal length of the rectangle. Here's how we can solve this step-by-step:

### Step 1: Understanding the Figure
- The square is tilted inside the rectangle.
- The length of one side of the square is \( 12 \) units.
- The height of the rectangle (vertical side) is \( 9 \) units.
- We are looking for the length of the rectangle, labeled as \( X \).

### Step 2: Geometry Involved
The diagonal of the square creates a right triangle inside the rectangle. Using the properties of the square and right triangles, we can set up equations to solve for \( X \).

- The side length of the square is \( 12 \).
- The

If one is a square and another is a rectangle, then find X.

Learn how to find the length X of a rectangle using the diagonal of a square placed inside. This problem involves key geometry concepts, including Pythagoras' Theorem and properties of squares. Suitable for students in Grades 9-11.

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