Final Answer:
The area of the model house floor is 322 in², calculated by multiplying the length and width dimensions.Thus,the correct option is C: 322 in².
Step-by-step explanation:
Jamal's model house floor area can be calculated by finding the product of the length and width of the floor. Let's assume the length of the floor is L inches, and the width is W inches. The formula for the area (A) of a rectangle is given by A = L × W.
In this case, the answer choices provide various options for the area, and we need to identify the correct one. To do this, let's examine each option. The formula for the area is A = L × W. By comparing the options, we find that option C, 322 in², is the product of two factors that could represent the length and width of the floor.
Now, let's consider the possible dimensions. The area of a rectangle can be factored into two numbers that, when multiplied, give the total area. In this case, the factors for 322 are 23 and 14. Therefore, we can say that the length (L) is 23 inches, and the width (W) is 14 inches. To verify, the area A = L × W is indeed 322 in² (23 × 14 = 322).
In conclusion, the correct answer is C: 322 in² because it satisfies the condition for the area of a rectangle and corresponds to the given dimensions of Jamal's model house floor.
Therefore,the correct option is C: 322 in².