Answer:
- length: 32 in
- width: 21 in
Step-by-step explanation:
If the width of the original piece of sheet metal is x, then the length is 2x-10. Subtracting a 5" square from each corner makes the bottom of the box have dimensions (x-10) and (2x-20). The volume of the box is then ...
5(x -10)(2x -20) = 1210 . . . . . . volume is the product of the dimensions
10(x -10)² = 1210 = 10(11²) . . . . factor the equation
(x -10)² = 11² . . . . . . . . divide by 10
x = 11 + 10 = 21 . . . . . .take the square root, add 10
The length and width of the original piece of sheet metal were 32 inches and 21 inches, respectively.
