Respuesta :
Answer: B. 9 inches by 9 inches
x = -13 or x = 9
x cannot be negative, so
x = 9 inches
Therefore, the dimensions of the cropped photo is 9 inches by 9 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?
A. 8 inches by 8 inches
B. 9 inches by 9 inches
C. 12 inches by 12 inches
D. 13 inches by 13 inches
Step-by-step explanation:
Given that;
(x+2)^2 = 121. ....1
x = size of cropped picture.
To solve for x,
From eqn1
x^2 + 4x + 4 = 121
x^2 + 4x - 117 = 0
Solving the quadratic equation gives;
(x+13)(x-9) = 0
x = -13 or x = 9
x cannot be negative, so
x = 9 inches
Therefore, the dimensions of the cropped photo is 9 inches by 9 inches.
Answer:
B. 9 inches by 9 inches
Step-by-step explanation:
he formula for the area of a square is length x width
For a square the length and the width are same therefore it is
length x length = (length)² (let’s call this first equation)
also (x + 2 )²= 121 (let’s call this second equation)
To form an equation for the cropped picture from the original picture
Length = (cut off length + new length) (third equation)
Length = ( 2 + x) fourth equation
assuming the new lenght is x
Since 2 is the cut off length from each sides
Lets substitute first equation into second equation then we will have
Lenght² = 121
Length = √121
Length = 11
Substitute into fourth equation
Length = 11 = (x+2)
X+2 =11
X= 11 - 2
X=9
