3 years ago

21331

Mathematics

2 answers:

Hitman42 [59]3 years ago

7 0

What I can’t read what they said sorry...

Dahasolnce [82]3 years ago

3 0

here's your answer..!! hope it's helpful

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The length and width of a rectangular room are measured to be 3.955±0.005m. Calculate the area of the room and its uncertainty i

Margarita [4]

Answer:

The area of the room and its uncertainty in square meters is:

15.642±0.040 $m^2$

Step-by-step explanation:

We know the area of a rectangular room is the multiplication of the length and width:

$Area= 3.955m*3.955m\\Area= 15.642 m^2$

Now we need to know the uncertainty, the uncertainty of a multiplication is:

$\frac{δ_a}{|Area|} =\frac{δ_L}{|L|}+\frac{δ_W}{|W|}$ (1)

$δ_A$ : Area uncertainty

$δ_L$ : Length uncertainty

$δ_W$ : Width uncertainty

A: Area of the room

L: Length

W: Width

Clearing the uncertainty of the area:

$δ_A=(\frac{δ_x}{|x|}+\frac{δ_y}{|y|})*Area$ (2)

$δ_A=(\frac{0.005}{|3.955|}+\frac{0.005}{|3.955|})*15.642 m^2$

$δ_A= 0.040 m^2$

The area of the room and its uncertainty in square meters is:

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