Geometry

Question Analysis:
This question combines the properties of rectangles and the Pythagorean Theorem.
The main focus is on recognizing that the diagonal of a rectangle divides it into two right - triangles, where the length and width of the rectangle are the legs of the right - triangle, and the diagonal is the hypotenuse.

Key Concept Explanation:
In a rectangle, each angle is a right - angle. When a diagonal is drawn, we can apply the Pythagorean Theorem, which states that for a right - triangle with legs and and hypotenuse , .

Step - by - Step Solution:
Let the length of the rectangle cm and the width cm.
The diagonal of the rectangle is the hypotenuse of the right - triangle formed.
Substitute and

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