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An American football field has an area of

square yards. A Canadian football field is 3,350 square
yards larger. What is the area of a Canadian football
field? Write your answer in scientific notation to 2
decimal places. (1 point)
6.4 × 10
3

5 answers

To find the area of a Canadian football field given that it is 3,350 square yards larger than an American football field, we can represent the area of the American football field as \( A \) (in square yards). Then the area of the Canadian football field \( C \) can be expressed as:

\[ C = A + 3350 \]

If we know the area of the American football field is \( 6.4 \times 10^3 \) square yards, we can substitute that value into the equation:

\[ C = 6.4 \times 10^3 + 3350 \]

Next, we need to convert \( 3350 \) into scientific notation to perform the addition more easily.

\[ 3350 = 3.35 \times 10^3 \]

Now we can add the two areas together:

\[ C = (6.4 \times 10^3) + (3.35 \times 10^3) = (6.4 + 3.35) \times 10^3 = 9.75 \times 10^3 \]

Thus, the area of a Canadian football field is:

\[ \boxed{9.75 \times 10^3} , \text{square yards} \]

its wrong bot give me correct answer pls

Let's recalculate the area of the Canadian football field correctly.

  1. Area of American Football Field: Given as \( 6.4 \times 10^3 \) square yards.

  2. Increase: The area of the Canadian football field is 3,350 square yards larger than that of the American football field.

First, let's convert 3,350 into scientific notation:

\[ 3,350 = 3.35 \times 10^3 \]

Now, we can find the area of the Canadian football field using the equation:

\[ C = A + 3350 \]

Substituting \( A = 6.4 \times 10^3 \):

\[ C = (6.4 \times 10^3) + (3.35 \times 10^3) \]

Now, we add the two:

\[ C = (6.4 + 3.35) \times 10^3 \]

Calculating the sum:

\[ 6.4 + 3.35 = 9.75 \]

So:

\[ C = 9.75 \times 10^3 \]

Thus, the area of the Canadian football field is:

\[ \boxed{9.75 \times 10^3} , \text{square yards} \]

If this is not what you were looking for, please specify the area of the American football field so I can provide the correct calculation based on that.

The american is 6.4 times 10^3

Thank you for confirming that the area of the American football field is \( 6.4 \times 10^3 \) square yards. Let's calculate the area of the Canadian football field step by step.

  1. Area of the American Football Field (A):
    \[ A = 6.4 \times 10^3 , \text{square yards} = 6400 , \text{square yards} \]

  2. Additional Area for the Canadian Football Field:
    The Canadian football field is 3,350 square yards larger than the American football field.

  3. Total Area of the Canadian Football Field (C):
    \[ C = A + 3350 \]
    \[ C = 6400 + 3350 = 9750 , \text{square yards} \]

  4. Convert to Scientific Notation:
    To express 9750 in scientific notation: \[ 9750 = 9.75 \times 10^3 \]

Therefore, the area of the Canadian football field is:

\[ \boxed{9.75 \times 10^3} , \text{square yards} \]

This confirms the previous answer correctly based on your input. If you're looking for a different format or have more specific requirements, please let me know!