Question

Consider a table with measurements 176.7 cm ± 0.2 cm along one side and 148.3 cm ± 0.2 cm along the other side.
Calculate the
i. perimeter,
ii. absolute perimeter uncertainty, ∆
iii. area (express your answer to 2 decimal places)
iv. percentage uncertainty of the area ∆
v. absolute uncertainty of the area ∆

Answer 1

Answer:

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232323

Answer 2

Explanation:

Given Consider a table with measurements 176.7 cm ± 0.2 cm along one side and 148.3 cm ± 0.2 cm along the other side. Calculate the

i. perimeter,

ii. absolute perimeter uncertainty, ∆

iii. area (express your answer to 2 decimal places)

iv. percentage uncertainty of the area ∆

v. absolute uncertainty of the area ∆

• So the measurements are given as 176.7 cm, 148.3 cm
• Now Perimeter P = 176.7 cm + 148.3 cm = 325 cm
•           So we have 325 + 325
•                        P = 650 cm
• Now ΔP = 0.2 + 0.3  
•               = 0.5 cm
•         So 0.5 + 0.5 = 1.0
•                So ΔP = 1.0 cm
• Therefore Perimeter P = 650 cm ± 1 cm  
• So Area of the table A = 176.7 cm x 148.3 cm
•                                        = 26204.61 cm^3
• Now ΔA = 0.2  / 176.7 cm x 100
•                 = 0.1131 %
•  Now ΔA = 0.3 / 148.3 cm x 100
•                  = 0.2022 %
•         ΔA = 0.1131 + 0.2022
•              = 0.3153 %

Reference link will be

https://brainly.in/question/12838380