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?

Answer 1

the answer is 9x9 inches

Answer 2

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

Explanation:

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

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

`(x+2)^2= 121\\ \\ √((x+2)^2)=\pm √(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]`

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

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