The total area of two square windows is 1,025 in.2. Each side of the larger window is 5 in. longer than the sides of the smaller window. How long are the sides of the smaller window?A = s2

Let x be the side length of the smaller window, so the larger window’s side is x + 5. Their areas add to x² + (x + 5)² = 1,025, which simplifies to x² + 5x − 500 = 0. Factoring gives (x + 25)(x − 20) = 0; the positive side length is 20 inches, so the smaller window’s sides are 20 in.

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