The owner of a restaurant wants to buy a rectangular glass top for the base of a table, as illustrated in the figure. It is known that the base of the table, considering the outer edge, has the shape of a rectangle, whose sides measure $AC = 105 \mathrm{~cm}$ and $AB = 120 \mathrm{~cm}$. At the store where the top will be purchased, there are five types of top options with different dimensions, all with the same thickness, namely: Type 1: $110 \mathrm{~cm} \times 125 \mathrm{~cm}$ Type 2: $115 \mathrm{~cm} \times 125 \mathrm{~cm}$ Type 3: $115 \mathrm{~cm} \times 130 \mathrm{~cm}$ Type 4: $120 \mathrm{~cm} \times 130 \mathrm{~cm}$ Type 5: $120 \mathrm{~cm} \times 135 \mathrm{~cm}$ The owner evaluates, for user convenience, that one should choose the top with the smallest possible area that satisfies the condition: when placing the top on the base, on each side of the outer edge of the table base, there should be a remaining region, corresponding to a glass frame, limited by a minimum of 4 cm and maximum of 8 cm outside the table base, on each side. According to the previous conditions, which type of glass top did the owner evaluate should be chosen? (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
The owner of a restaurant wants to buy a rectangular glass top for the base of a table, as illustrated in the figure.
It is known that the base of the table, considering the outer edge, has the shape of a rectangle, whose sides measure $AC = 105 \mathrm{~cm}$ and $AB = 120 \mathrm{~cm}$.
At the store where the top will be purchased, there are five types of top options with different dimensions, all with the same thickness, namely:
Type 1: $110 \mathrm{~cm} \times 125 \mathrm{~cm}$
Type 2: $115 \mathrm{~cm} \times 125 \mathrm{~cm}$
Type 3: $115 \mathrm{~cm} \times 130 \mathrm{~cm}$
Type 4: $120 \mathrm{~cm} \times 130 \mathrm{~cm}$
Type 5: $120 \mathrm{~cm} \times 135 \mathrm{~cm}$
The owner evaluates, for user convenience, that one should choose the top with the smallest possible area that satisfies the condition: when placing the top on the base, on each side of the outer edge of the table base, there should be a remaining region, corresponding to a glass frame, limited by a minimum of 4 cm and maximum of 8 cm outside the table base, on each side.
According to the previous conditions, which type of glass top did the owner evaluate should be chosen?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5