The area ( A ) of a regular pentagon can be calculated using the formula ( A = \frac{1}{2} \times \text{Perimeter} \times \text{Apothem} ). For a regular pentagon with an apothem of 4, we first need the perimeter. The perimeter ( P ) can be found using the formula ( P = 5s ), where ( s ) is the length of one side. However, without knowing the side length, we can use the relationship between the apothem and side length in a regular pentagon, leading to the area being ( A = \frac{5 \times s \times 4}{2} ). Assuming ( s ) as 4 (for simplicity), the area would be ( A = 40 ).
7
To find the apothem length ( a ) of a regular pentagon, you can use the formula for the area ( A ) of a pentagon: [ A = \frac{1}{2} \times Perimeter \times Apothem ] The perimeter ( P ) of the pentagon is ( 5 \times \text{side} = 5 \times 8 = 40 ) in. Given the area ( A = 140 ) sq. in., we can rearrange the formula to find the apothem: [ 140 = \frac{1}{2} \times 40 \times a \implies 140 = 20a \implies a = \frac{140}{20} = 7 \text{ in.} ] Thus, the apothem length is 7 inches.
To find the area of a pentagon when you have a base height and a length, you can divide the pentagon into simpler shapes, such as triangles and rectangles. If you know the base length and the height from the base to the top vertex, you can use the formula for the area of the pentagon: Area = (Perimeter × Apothem) / 2, or apply the formula for the area of individual shapes you've divided it into. If the pentagon is regular, you can also use the formula for the area of a regular pentagon: Area = (1/2) × Perimeter × Apothem.
What is the area of a regular pentagon with side length of 9.4 feet and an apothem length of 6.5 feet
13
regular pentagon area of 12 000 m2 and an apothem of 40 m regular pentagon area of 12 000 m2 and an apothem of 40 m need to figure it out from area 12000 m2
386.5
7
To find the apothem length ( a ) of a regular pentagon, you can use the formula for the area ( A ) of a pentagon: [ A = \frac{1}{2} \times Perimeter \times Apothem ] The perimeter ( P ) of the pentagon is ( 5 \times \text{side} = 5 \times 8 = 40 ) in. Given the area ( A = 140 ) sq. in., we can rearrange the formula to find the apothem: [ 140 = \frac{1}{2} \times 40 \times a \implies 140 = 20a \implies a = \frac{140}{20} = 7 \text{ in.} ] Thus, the apothem length is 7 inches.
The formula is 1/2 (apothem) (perimeter)
45 cm
To find the area of a pentagon when you have a base height and a length, you can divide the pentagon into simpler shapes, such as triangles and rectangles. If you know the base length and the height from the base to the top vertex, you can use the formula for the area of the pentagon: Area = (Perimeter × Apothem) / 2, or apply the formula for the area of individual shapes you've divided it into. If the pentagon is regular, you can also use the formula for the area of a regular pentagon: Area = (1/2) × Perimeter × Apothem.
What is the area of a regular pentagon with side length of 9.4 feet and an apothem length of 6.5 feet
13
The answer is 171.275*apex*
A = 2480cm
The area of a regular pentagon can be calculated using the formula: ( \text{Area} = \frac{1}{2} \times \text{Perimeter} \times \text{Apothem} ). For a pentagon with a side length of 9 mm, the perimeter is ( 5 \times 9 = 45 ) mm. Using the apothem length of 6.2 mm, the area is ( \frac{1}{2} \times 45 \times 6.2 = 139.5 ) square millimeters. Thus, the area of the pentagon is 139.5 mm².