Help me out with this question please!

1) Length of BC + Length of DE = 17 cm

2) The perimeter of the shape ABCDEF is 58 cm

Step-by-step explanation:

1) The given parameters are;

The length of the rectangular sheet of paper = 17 cm

The width of the rectangular sheet of paper = 12 cm

Therefore, we have;

The length of the side of the cut out square piece = DE = CD

By the definition of a square, the length of all sides of the square are equal

The length of BC + The length of one side of the square = The length of the rectangular paper = 17 cm

The length of BC + The length of one side of the square DE (or CD) = 17 cm

2) The perimeter, 'P', of the shape ABCDEF is given as follows;

P = Length of AB + Length of BC + Length of CD + Length of DE + Length of EF + Length of FA

Therefore, we have;

P = Length of AB + Length of BC + Length of DE + Length of CD + Length of EF + Length of FA

Length of BC + Length of DE = 17 cm

Similarly, we have;

Length of CD + Length of EF = 12 cm

∴ P = Length of AB + 17 cm + 12 cm + Length of FA

P = 12 cm + 17 cm + 12 cm + 17 cm = 58 cm

The perimeter of the shape ABCDEF = P = 58 cm.