# Geometry

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

The area of Pentagon A is equal to 1.49 times the area of Pentagon B.
The area of Pentagon B is equal to 1.49 times the area of Pentagon A.
The area of Pentagon A is equal to 1.53 times the area of Pentagon B.
The area of Pentagon B is equal to 1.53 times the area of Pentagon A.

1. 👍 0
2. 👎 0
3. 👁 1,326
1. DId you get the answers?

1. 👍 0
2. 👎 1
2. For a pentagon with radius r, the apothem is a = r cos 36° = 0.8090r

So, B's area is .8090^2 the area of A.

So, A's area is 1.53 times the area of B.

1. 👍 7
2. 👎 0
3. i have no idea

1. 👍 0
2. 👎 1

## Similar Questions

1. ### Pre Albergra

The Pentagons ABCDE and PQRST are Similar: Find the length x of TP

2. ### goemetry

The pentagons below are similar. The area of the smaller pentagon is 30m^2. What is the area of the larger pentagon in m^2? Small pentagon is 4m and the larger one is 10m

3. ### Geometry

Hi, I'm having a difficult time understanding a couple of Geometry questions on my homework and I'd really appreciate it if someone could answer them and explain to me how to get the same answer. Question 1: A regular pentagon has

4. ### Elementary Math

What if we made a pattern by joining pentagons? If the length of each side of the pentagon is 1 unit, then what would be the perimeter of n pentagons joined together? Note: The perimeter is the distance around the outside of the

1. ### math

the area of a regular hexagon is given as 384√3 a. how long is each side of a hexagon b. find the radius of a hexagon c. find the apothem of a hexagon

2. ### Geometry

What is the area of a regular pentagon with an apothem 14 inches long and a side 20 inches long? Round the answer to the nearest inch. Answer choices: 1400 in.^2 700 in.^2 175 in.^2 140 in.^2 Give work, not answer, please.

3. ### Math--Area

Find the area of each regular polygon to the nearest tenth. Octagon with side length of 10 kilometers. Heres what I tried; but I don't know if im on the right track. Area=1/2 * Perimeter* Apothem Perimeter=base of octagon* number

4. ### MATH

The regular pentagon has a perimter of 18.8 units. What is the value of x? theres a drawing of a pentagon and below it, it says x-3.

1. ### Math-geometry

A regular polygon with all sides that are congruent and all angles that are congruent. Thus, the regular triangles are equilateral triangles, and the regular quadrilaterals are squares. All equilateral triangles are similar to one

2. ### Trig-Algebra help asap

A regular pentagon is inscribed in a circle whose radius measures 7 cm. Find the area of the pentagon.

3. ### Geometry

A regular pentagon has side length 12cm.the perimeter of the pentagon is 60cm and the area is 247.7cm2 .a second. Pentagon has side lengths equal to 24cm .find the perimeter of the second pentagon

4. ### Geometry

Find the area of the regular polygon with the given radius. The radius of the square is 6 cm. area= apothem x perimeter/ 2