Question

liliana decides to crop a square photo 2 inches on each side to fit it into a frame. the area of the original photo was 121 square inches. in the equation (x + 2)² = 121, x represents the side measure of the cropped photo. what are the dimensions of the cropped photo? 8 inches by 8 inches 9 inches by 9 inches 12 inches by 12 inches 13 inches by 13 inches

Explanation:

Step1: Solve the equation for x

We have the equation \((x + 2)^2 = 121\). Take the square root of both sides: \(x + 2=\pm\sqrt{121}\). Since \(\sqrt{121} = 11\), we have two cases:

• Case 1: \(x + 2=11\), then \(x = 11 - 2=9\).
• Case 2: \(x + 2=- 11\), then \(x=-11 - 2=-13\). But the side length can't be negative, so we discard this solution.

Step2: Determine the dimensions

Since the cropped photo is a square with side length \(x = 9\) inches, the dimensions are 9 inches by 9 inches.

Answer:

B. 9 inches by 9 inches