Represent the thickness of the frame by x. Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,
A = (3 + 2x)(2 +2x) = 8
The equation above can be simplified into 4x^2 + 10x -2 = 0. This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice.
Answer:
0.82%
Step-by-step explanation:
First find the z-score.
z = (x − μ) / σ
z = (72 − 60) / 5
z = 2.4
Use a chart or calculator to find the probability.
P(Z > 2.4) = 1 − P(Z < 2.4)
P(Z > 2.4) = 1 − 0.9918
P(Z > 2.4) = 0.0082
Okay, first, given the equation, we need to find out what the radius of the circle is. Let us state the general equation of a circle:

Where

is the centre of the circle. In this case, we don't need to know the centre. Just the radius.
Let us start by converting the equation into standard for, which I typed above. Divide both sides by 81.

Great! We now know the radius of the circle. It is

because it is the bottom fraction. Now we know that the radius is 9.
So now lets input this into the area of circle formula:
Now we insert our radius.
You can convert that into a decimal if you wish.
Hope this helped!
~Cam943, Moderator