Geometry

Question Analysis:
This question combines the perimeter formula of a rectangle and the Pythagorean Theorem.
The main focus is on first using the perimeter formula to find the width of the rectangle, and then using the Pythagorean Theorem to find the length of the diagonal.

Key Concept Explanation:
The perimeter of a rectangle , where is the length and is the width.
The Pythagorean Theorem for the right - triangle formed by the length, width, and diagonal of a rectangle is , where is the diagonal.

Step - by - Step Solution:
1. First, find the width of the rectangle. Given cm and cm.
  - Use the perimeter formula . Substitute the values: .
  - Divide both sides by 2:

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