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)

Question

Responses

8.5×105 ft.
8.5 times 10 superscript 5 baseline ft.

8.5×103 ft.
8.5 times 10 cubed ft.

8.5×104 ft.
8.5 times 10 superscript 4 baseline ft.

8.5×102 ft.

Answer 1

To find the width of the park, we need to divide the area by the length.

Area = 1.36 × 10^8 ft^2
Length = 1.6 × 10^4 ft

Width = Area / Length
Width = (1.36 × 10^8) / (1.6 × 10^4)

When dividing numbers in scientific notation, we subtract the exponents:
Width = 1.36 / 1.6 × 10^(8 - 4)

Simplifying the fraction:
Width = 0.85 × 10^4
Width = 0.85 × 10^4 ft

Converting this into scientific notation:
Width = 8.5 × 10^3 ft

Therefore, the width of the park is 8.5 × 10^3 ft.