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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

Sagot :

maryamkincsem

The dimensions of the cropped photo will be 9 inches by 9 inches

Step-by-step explanation:

Step 1 of 3

From the formula of area of square

Length x width = area

[tex]x^{2}[/tex] = area

But we are given the equation as

[tex](x+2)^{2}[/tex] = 121

Step 2 of 3

The equation gives the measures of the cropped dimension as "x". This means we need to solve the equation

[tex](x+2)^{2}[/tex] = 121

[tex]x^{2}[/tex] + [tex]2^{2}[/tex] + 2(x) (2) = 121

[tex]x^{2}[/tex] + 4 + 4x = 121

[tex]x^{2}[/tex]  + 4x -117 = 0

[tex]x^{2}[/tex]  + 13x - 9x -171 = 0

x( x+13) -9 (x+13) = 0

(x+13)(x-19) =0

This means

x = 9, -13

Step 3 of 3

Since, dimension can't be negative. So, the measure of dimension would be 9 inches by 9 inches

You can learn more about dimensions of square from

https://brainly.in/question/51828
#SPJ4

The question is incomplete. Therefore, complete question is

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 [tex](x+2)^{2}[/tex] = 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

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