A rectangular park has an area of 1.36×10^8 ft^2

. The length of the park is 1.6×10^4
ft. Divide the area by the length to find the width of the park.(1 point)
Responses

1 answer

To find the width of the park, you can use the formula:

\[ \text{Width} = \frac{\text{Area}}{\text{Length}} \]

Given:

  • Area = \(1.36 \times 10^8 , \text{ft}^2\)
  • Length = \(1.6 \times 10^4 , \text{ft}\)

Now, substitute the values into the formula:

\[ \text{Width} = \frac{1.36 \times 10^8 , \text{ft}^2}{1.6 \times 10^4 , \text{ft}} \]

To divide the numbers, first divide the coefficients and then subtract the exponents:

\[ \text{Width} = \frac{1.36}{1.6} \times 10^{8-4} \]

Calculating the coefficient:

\[ \frac{1.36}{1.6} = 0.85 \]

Now, subtract the exponents:

\[ \text{Width} = 0.85 \times 10^4 \]

To express \(0.85\) in scientific notation:

\[ 0.85 = 8.5 \times 10^{-1} \]

Thus, we can rewrite the width:

\[ \text{Width} = 8.5 \times 10^{-1} \times 10^4 = 8.5 \times 10^{3} , \text{ft} \]

Therefore, the width of the park is:

\[ \text{Width} = 8500 , \text{ft} \]