33. Laura walks every evening on the edges of a sports field near her house. The field is in the shape of a rectangle 300 feet (ft) long and 200 ft wide, so 1 lap on the edges of the field is 1,000 ft. She enters through a gate at point G, located exactly halfway along the length of the field. Laura counts the number of strides she takes during her daily walks. She takes about 80 strides to walk the width of the field from Z to W. Assuming that her stride length does not change, about how many strides does Laura take to walk all the way around the edge of the field?
Answer: D
Laura takes about 400 strides to walk all the way around the edge of the field.
To determine the number of strides Laura takes to walk around the field, we first calculate the perimeter of the rectangular field, which is 1,000 feet. Given that she takes 80 strides to walk the width of the field (200 ft), we can find her stride length and then calculate the total number of strides for the entire perimeter.
A) 267
This option is incorrect because it underestimates the number of strides Laura takes. Based on her stride length calculated from the width of the field, 267 strides would not cover the complete perimeter of 1,000 feet.
B) 320
This option is also incorrect. While it is a closer estimate, it still does not account for the full distance of 1,000 feet around the field. The calculation based on her stride length shows that she would take more than 320 strides.
C) 450
This choice is incorrect as well. Although it is a higher estimate, 450 strides would still not accurately reflect the total number of strides needed to cover the 1,000 feet perimeter, as calculated from her stride length.
D) 400
This option is correct because it accurately reflects the number of strides based on the calculation from the width of the field. Given Laura takes 80 strides to walk 200 feet, her stride length is 2.5 feet. Therefore, to walk the 1,000 feet perimeter, she would take 1,000 ft / 2.5 ft per stride = 400 strides.
Conclusion
The correct answer is 400 strides, as it is derived from the accurate calculation of her stride length and the total distance around the field. All other options fail to provide a sufficient count of the strides based on her established stride length, demonstrating a misunderstanding of the relationship between distance and stride length.