an American football field has an area of 6.4×10 power of 3 yd.² a Canadian football field is three, 350 yd.² larger. What is the area of a Canadian football field right? Your answer in scientific notation to two decimal places.

Answer 1

To find the area of a Canadian football field, we need to add the additional area to the area of the American football field.

1. The area of the American football field is \( 6.4 \times 10^3 , \text{yd}^2 \).
2. The Canadian football field is \( 3,350 , \text{yd}^2 \) larger.

Now, we need to convert \( 3,350 , \text{yd}^2 \) to scientific notation:

\[ 3,350 = 3.35 \times 10^3 , \text{yd}^2 \]

Next, we calculate the area of the Canadian football field:

\[ \text{Area of Canadian football field} = \text{Area of American football field} + \text{Additional area} \]

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

Since both terms are in the same power of 10, we can directly add the coefficients:

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

\[ = 9.75 \times 10^3 \]

Now, we have the area of the Canadian football field in scientific notation:

\[ \text{Area of Canadian football field} = 9.75 \times 10^3 , \text{yd}^2 \]

Thus, the final answer is:

\[ \boxed{9.75 \times 10^3 , \text{yd}^2} \]