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.
700?
yes 700
Oh lol thx :)
Can someone explain to me what an apothem is, cuz isint it like a radius.
area=5(area triangles)=5(1/2*20*14)
= 5 *140=.....
what is the area of a regular hexagon with an apothem 20.5 inches long and a side 23 inches long round the answer to the nearest tenth
A. 1886.0
B. 2829.0
C. 235.8
D. 1,414.5
To find the area of a regular pentagon, you can use the formula: Area = 1/2 * P * A.
In this formula, P represents the perimeter of the pentagon and A represents the apothem.
To determine the perimeter of the pentagon, you need to find the length of one side since all sides are equal in a regular pentagon. The length of one side is given as 20 inches.
The perimeter can be calculated by multiplying the side length by the number of sides, which in this case is 5. Therefore, the perimeter P is equal to 20 inches * 5 sides, which is 100 inches.
Now that we have the perimeter (P) and the apothem (A), we can substitute these values into the formula to find the area. It becomes: Area = 1/2 * 100 inches * 14 inches.
Calculating this equation gives us: Area = 700 square inches.
Rounding the answer to the nearest inch, the area of the regular pentagon is approximately 700 square inches.
Therefore, the correct answer is "700 in.^2".