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?

Respuesta :

the answer is 9x9 inches

Answer:

The dimensions of the cropped photo are 9 inches by 9 inches.

Step-by-step explanation:

The given equation is:   [tex](x+2)^2= 121[/tex] , where [tex]x[/tex] represents the side measure of the cropped photo.

Solving the above equation.........

[tex](x+2)^2= 121\\ \\ \sqrt{(x+2)^2}=\pm \sqrt{121}\\ \\ x+2=\pm 11\\ \\ x+2=11\ \ \ \ \ or \ \ x+2=-11\\ \\ x=11-2\ \ \ \ \ \ \ \ \ \ x=-11-2\\ \\ x=9 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-13\ \ [negative\ value\ ignored][/tex]

So, the side measure of the cropped photo is 9 inches.

Hence, the dimensions of the cropped photo are 9 inches by 9 inches.