From the image you provided, it appears we are dealing with a geometric problem involving a rectangle and two right triangles. To determine the dimension $x$, we can apply the Pythagorean theorem.

Here are the key dimensions from the diagram:

• One triangle is formed with sides 12 m (height) and 12 m (width).
• Another triangle is formed with sides 7 m and 5 m.

Since both triangles are right-angled, we can use the Pythagorean theorem in both cases to solve for $x$, the diagonal of the rectangle.

Step 1: Identify the right triangles.

• For the triangle with sides 12 m and $x$, use the Pythagorean theorem: $12^2 + x^2 = 12^2$

• For the second triangle with sides 7 m and 5 m: [ x^2 + 5^2 =