Question

Regular pentagons A and B are similar. The apothem of Pentagon A equals the radius of Pentagon B. Compare their areas.

A. The area of Pentagon A is equal to 1.49 times the area of Pentagon B.

B. The area of Pentagon B is equal to 1.49 times the area of Pentagon A.

C. The area of Pentagon A is equal to 1.53 times the area of Pentagon B.

D. The area of Pentagon B is equal to 1.53 times the area of Pentagon A.

Answer 1

@mathmale

Answer 2

I'd suggest you look up the meaning of "apothem" and share that meaning here. Next, I'd suggest you draw the two similar (but differently-sized) pentagons, showing the apothem of pentagon A and the radius of apothem B; these two are described as being equal to one another.

Answer 3

The apothem is the perpendicular distance from the center to a side. While the radius is from the angle to the center....

Answer 4

@mathmale would this be somewhat correct?

Answer 5

I had chosen for the apothem and the radius to be 6cm and found that with the apothem being 6cm in Pentagon A that its area was 130.77 and with Pentagon B having the radius with 6cm I got the area of 85.52 in which I divided them both and found out that Pentagon A is 1.53 times larger than Pentagon B.....

Is my work correct @mathmale

Answer 6

@rishavraj am I correct?