Final answer:
To calculate the amount of space covered in frosting on Lacey's mom's cake in the shape of an 'l', we need to find the perimeter of the cake. Without knowing the specific dimensions of the cake, the exact amount of space covered in frosting cannot be determined.
Step-by-step explanation:
To calculate the amount of space covered in frosting, we need to find the perimeter of the cake. Since the cake is in the shape of an 'l', we can split it into two rectangles. Let's assume the length of the longer side is x cm and the length of the shorter side is y cm. The perimeter formula for a rectangle is 2(x + y). In this case, the perimeter of the 'l' cake would be 2(x + y + x) = 4x + 2y. Without knowing the specific dimensions of the cake, we cannot determine the exact amount of space covered in frosting. Therefore, none of the given options (1) 22 cm, (2) 20 cm, (3) 10 cm, (4) 5 cm, or (5) 30 cm can be confirmed as the correct answer.