Question

A math professor moves to the country and decides to keep a cow. He wants to build a shed with a rectangular floor 8 feet wide and 16 feet long. What is the area of the shed?

A) 8 square feet
B) 16 square feet
C) 128 square feet
D) 24 square feet

Answer 1

The area of a rectangle is calculated using the formula \( \text{Area} = \text{length} \times \text{width} \):So the correct answer is:

C) 128 square feet

Step-by-step explanation:

The area of a rectangle is calculated using the formula \( \text{Area} = \text{length} \times \text{width} \). In this case, the length of the shed is given as 16 feet, and the width is given as 8 feet. To find the area, you multiply these values together:

\[ \text{Area} = 16 \, \text{feet} \times 8 \, \text{feet} \]

\[ \text{Area} = 128 \, \text{square feet} \]

Therefore, the correct answer is C) 128 square feet.

Now, let's delve into the explanation. The area of a rectangular shed is determined by multiplying its length and width. In mathematical terms, it is represented as \( \text{Area} = \text{length} \times \text{width} \). For this specific shed, the given dimensions are a length of 16 feet and a width of 8 feet. By substituting these values into the formula, the calculation becomes \( \text{Area} = 16 \, \text{feet} \times 8 \, \text{feet} \), resulting in an area of 128 square feet. Therefore, the correct answer to the question is option C) 128 square feet.

In summary, the area of the shed is determined by the dimensions provided, and the application of the area formula yields the final result. The calculation is straightforward, involving the multiplication of the given length and width, and the resulting area of 128 square feet corresponds to the correct option C).

Answer 2

The area of the shed is 128 square feet. Thus the correct option is C.

Step-by-step explanation:

To find the area of the rectangular shed, we use the formula: Area = Length × Width. Given the shed's dimensions are 8 feet wide and 16 feet long, we multiply these values together: 8 * 16 = 128 square feet. This means the shed covers an area of 128 square feet in total.

The area of a rectangle is calculated by multiplying its length and width. In this case, the shed's width is 8 feet and its length is 16 feet. Applying the formula (length × width) = (16 feet) × (8 feet) = 128 square feet gives us the total area. Hence, the shed covers a total area of 128 square feet, as required.

Understanding the basics of calculating the area of a rectangle involves multiplying the length and width. In this instance, the provided dimensions of 8 feet for width and 16 feet for length enable us to directly multiply these values together to obtain the shed's total area. Therefore, the final answer is 128 square feet, representing the total ground space the shed will occupy. Thus the correct option is C.