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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

Respuesta :

Hagrid
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.
The dimensions of the cropped photo is 9 inches by 9 inches.
calculista

Let

x------> represents the side measure of the cropped photo

we know that

[tex] (x + 2)^{2} = 121 \\ (x+2)=\sqrt{121} \\ (x+2)=11\\ x=11-2\\ x=9\ in [/tex]

the photo is a square

so

the dimensions are [tex] 9\ inches\ by\ 9\ inches [/tex]

therefore

the answer is the option

[tex] 9\ inches\ by\ 9\ inches [/tex]

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