Answer:
A. 2·x² + 16·x + 32 ≥ 254
Step-by-step explanation:
The given dimensional relationship between the dimensions of the photo in the center of the cake and the dimensions of the cake are
The width of the cake = The width of the photo at the center of the cake, x + 4 inches
The length of the cake = 2 × The width of the cake
The area of the cake Wanda is working on ≥ 254 in.²
Where 'x' represents the width of the photo (at the center of the cake), let 'W' represent the width of the cake, let 'L' represent the length of the cake, we get;
W = x + 4
L = 2 × W
Area of the cake, A = W × L ≥ 254
∴ A = (x + 4) × 2 × (x + 4) = 2·x² + 16·x + 32 ≥ 254
The inequality representing the solution is therefore;
2·x² + 16·x + 32 ≥ 254
The ends of the rectangle = 10*10*2 = 200
The long sides and bottom of the rectangle = 12*10*3 = 360
Vertical end of the triangle = 5*10 = 50
The sides of the triangle = 12*5*1/2*2 = 60
Triangle slope = 13*10 = 130
Total = 200 + 360 + 50 + 60 + 130 =
800 in sq
The answer to the question is b
