Final answer:
The length of the diagonal of the rectangle is √130 inches.
Step-by-step explanation:
The diagonal of the rectangle can be found using the Pythagorean theorem. The formula for the Pythagorean theorem is a² + b² = c², where a and b are the lengths of the sides of the rectangle and c is the length of the diagonal. In this case, a = 7 inches and b = 9 inches. Plugging these values into the formula, we have 7² + 9² = c². Simplifying, we get 49 + 81 = c². Adding these values, we get 130 = c². To find c, we take the square root of both sides of the equation. Therefore, c = √130 inches in simplest radical form.
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