10
QuizMultiple Choice

Modeling with Quadratic Equations — Quiz

Question 10 • Algebra II

The total area of two square windows is 1 comma 025 in. squared 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? cap A is equal to s squared

Answer
A
25 in.
B
13 point 5 in.
C
20 in.
D
31 point 6 in.

Explanation

Let x be the side length of the smaller window, so the larger window’s side length is x + 5. Their total area gives x² + (x + 5)² = 1,025, which simplifies to x² + 5x − 500 = 0; the positive solution is x = 20. So the smaller window’s sides are 20 in. long.

AI-written and checked against the verified answer.

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