Answer:
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.
