Answer:
Length of the final sides: 6 cm and 16 cm
Step-by-step explanation:
The lengths of the sides of the original box are
Later, a piece of tin is cut out from each corner; the piece cut out has the shape of the square: we can call the length of its generic side x. Therefore, the dimensions of the box will now be:
We also know that the area is
And the area can be written as product of length and width, therefore:
So we find:
Solving for x,
Which has two solutions:
x = 13 cm (this is larger than the initial length of the width, therefore we discard it)
x = 2 cm
So, the length of the new sides are