Question

As an architect, you are designing a new house. a window has a height between 150  cm  and 160  cm and a width between 82  cm  and 70  cm  .when calculating the areas what is the appropriate number of significant figures

Answer 1

Answer:

Your result should not have more than 3 significant figures.

Step-by-step explanation:

According to the information that you area given, the height has 3 significant figures and the width has 2 significant figures.

Now when you multiply the final result should not have more significant figures than either of the numbers that you multiplied. Therefore your result should not have more than 3 significant figures.

Answer 2

We can write the statement above using inequalities. Let's name:

x: The height of a window (in cm)
y: The width of a window (in cm)

Then writing those statements as equations:

$150 \leq x \leq 160$

$70 \leq y \leq 82$

So the area is given by the equation:

$A=xy$ in $cm^{2}$

$10500 \leq A \leq 13120$

So there are a variety of figures we can choose as long as the area is between $10500cm^{2}$ and $13120cm^{2}$