Answer:
25 in by 47 in
Step-by-step explanation:
The volume of the box is the product of the dimensions of the base and the depth of the box.
The base width will be 22 inches less than y.
The base length will be 22 inches less than (y+22).
The depth of the box will be 11 inches.
(You might want to get a piece of paper, cut squares from the corners, and fold it up to see how this works.)
Then the volume in cubic inches is ...
V = LWH
825 = (y in)(y -22)(11)
Dividing by 11 and writing this quadratic in standard form gives you ...
y² -22y -75 = 0
(y -25)(y+3) = 0 . . . . factor the equation
y = 25 or -3 . . . . . only the positive solution is useful here
The original dimensions (in inches) are y and y+22, so for y=25, the original dimensions are ...
25 in by 47 in
