$6.63
Set up a proportion for the situation and solve for the unknown quantity. Round to the hundredths place because we are dealing with money.
See details:
first you need to find the slope (m) using y2-y1/x2-x1.
-4-2/4-1= -6/3=-2
m=-2
then plug into the intercept form formula: y-y1=m(x-x1)
y-2=-2(x-1)
The fraction would be 3/4
The correct answer is the third option, which is:
6 inches²
The explanation is shown below:
1. You are working with the areas of the pentagons shown in the figure above. Therefore, the ratios are:
side1²/side2²=A1/A2
(7.5)²/(2.5)²=54/A2
Where A2 is the the area of the smaller pentagon.
2. Therefore, you have that the result is:
A2=6 inches² (As you can see, it is the third option mentioned above).