16
QuizMultiple Choice

Quadratics and Complex Numbers — Test

Question 16 • Algebra II

Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of the smaller square is 14 the area of the original square. What was the side length of the original square? cap A is equal to s squared

Answer
A
2 in.
B
6 in.
C
12 in.
D
1 in.

Explanation

Let the original side length be s inches. After 3 inches are cut off, the smaller square has side length s − 3, and its area is one-fourth of the original area: (s − 3)² = s²/4. Taking positive square roots gives s − 3 = s/2, so s = 6. The original square’s side length is 6 inches, choice B.

AI-written and checked against the verified answer.

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