Question

A rectangular park has an area of 1.36×108 ft2 . The length of the park is 1.6×104 ft. Divide the area by the length to find the width of the park.(1 point) Responses 8.5×105 ft. 8.5 times 10 superscript 5 baseline ft. 8.5×104 ft. 8.5 times 10 superscript 4 baseline ft. 8.5×103 ft. 8.5 times 10 cubed ft. 8.5×102 ft.

Answer 1

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, divide the area by the length:

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

To perform the division, you can first divide the coefficients (1.36 and 1.6) and then subtract the exponents (8 and 4):

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

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

To express \(0.85\) in scientific notation, it can be rewritten as:

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

Thus, we can adjust the exponent:

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

So the width of the park is:

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

Hence, the correct response is 8.5×10³ ft.