A rectangular-shaped patio has a base length equal to (24.5 ± 0.2)m and a height equal to (9.3 ± 0.1)m.What is the area of the patio,including its uncertainty?
A)228 ± 4
B)228 ± 2
C)228 ± 23
D)228 ± 6

Question

​A rectangular-shaped patio has a base length equal to (24.5 ± 0.2)m and a height equal to (9.3 ± 0.1)m.What is the area of the patio,including its uncertainty?
A)​228 ± 4
B)​228 ± 2
C)​228 ± 23
D)​228 ± 6

Quizplus · Accepted Answer

The area of the patio is calculated by multiplying the base length by the height, which gives 24.5m * 9.3m = 227.85m², rounded to 228m². The uncertainty in the area is found by adding the relative uncertainties of the length and height before multiplying by the area: (0.2/24.5 + 0.1/9.3) * 228 ≈ 4. Therefore, the area of the patio, including its uncertainty, is 228 ± 4 m².

​A Rectangular-Shaped Patio Has a Base Length Equal to (24

A Rectangular-Shaped Patio Has a Base Length Equal to (24