Question

question 11 (3 points)
estimate the amount of error in a calculation that is based on using a persons stride length of 32 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 32 inches with a possible error of ±2 inches.
this means the actual stride length can vary between 30 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 (30 inches), the actual length could be shorter.
if the person measures the length using the maximum stride length (34 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 × 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 (34 inches):
• length = 5 strides × 34 inches = 170 inches
• width = 3 strides × 34 inches = 102 inches
• maximum area = length × width = 170 inches × 102 inches =

____________ square inches.

• using the minimum stride length (30 inches):
• length = 5 strides × 30 inches = 150 inches
• width = 3 strides × 30 inches = 90 inches
• minimum area = length × width = 150 inches × 90 inches = 13500 square inches.
• the actual area lies between the maximum and minimum calculated areas.
• error = maximum area - minimum area
• error = 17340 square inches - 13500 square inches =

____________ square inches.

Explanation:

Answer:

(Step 1) 34
(Step 2) length
(Step 3) 4
(Step 4) 4
(Step 5 - Maximum Area) 17340
(Step 5 - Error) 3840