Question

estimate the amount of error in a calculation that is based on using a persons stride length of 22 inches plus/minus 2 inches, and the person uses stride length to measure the length and width of a plot of land. determine the estimated error in calculating the area of the plot of land. step 1 stride length measurement the persons stride length is 22 inches with a possible error of ±2 inches. this means the actual stride length can vary between 20 inches and __ inches. step 2: calculating the area of the plot: to estimate the error in calculating the area, consider the maximum possible error. assume the person uses their stride length to measure both the ____ and width of the plot. these are the two measurements we use to calculate area. step 3: maximum error in length measurement if the person measures the length using the minimum stride length (20 inches), the actual length could be shorter. if the person measures the length using the maximum stride length (24 inches), the actual length could be longer. the difference between these extremes is inches. step 4: maximum error in width measurement similar to the length, the maximum error in width measurement is also inches. step 5: estimated error in area calculation the area of the plot is calculated as the product of length and width: area = length x width. suppose the person uses their stride length to measure the length and width of a rectangular plot. lets assume: length of the plot = 5 strides. width of the plot = 3 strides. using the maximum stride length (24 inches): length = 5 strides x 24 inches = 120 inches width = 3 strides x 24 inches = 72 inches maximum area = length x width = 120 inches x 72 inches = ____ square inches. using the minimum stride length (20 inches): length = 5 strides x 20 inches = 100 inches width = 3 strides x 20 inches = 60 inches minimum area = length x width = 100 inches x 60 inches = 6000 square inches. the actual area lies between the maximum and minimum calculated areas. error = maximum area - minimum area error = 8640 square inches - 6000 square inches = ______ square inches.

Explanation:

Answer:

Step 1: 24
Step 2: length
Step 3: 4
Step 4: 4
Step 5:
Using maximum stride length:
Length = 120 inches, Width = 72 inches, Maximum Area = 8640 square inches
Using minimum stride length:
Length = 100 inches, Width = 60 inches, Minimum Area = 6000 square inches
Error = 2640 square inches