liliana decides to crop a square photo 2 inches on each side to fit it into a frame. the area of the…

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

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

Answer

Explanation:

Step1: Solve the equation $(x + 2)^2=121$

Take the square - root of both sides: $x + 2=\pm\sqrt{121}$. Since $\sqrt{121} = 11$, we have $x+2 = 11$ or $x + 2=-11$.

Step2: Find the value of $x$

For $x + 2=11$, subtract 2 from both sides: $x=11 - 2=9$. For $x + 2=-11$, subtract 2 from both sides: $x=-11 - 2=-13$. But the side - length of a photo cannot be negative, so we discard $x=-13$.

Answer:

B. 9 inches by 9 inches