# AREA OF REGULAR POLYGON WITH GIVEN SIDES WORKSHEET

Problem 1 :

What is the area of regular nanagon with 10 cm sides.

Solution

Problem 2 :

Octagon with side length 6 cm

Solution

Problem 3 :

Decagon with side length 4 yd

Solution

Problem 4 :

The Pentagon in Arlington, Virginia, is one of the world’s largest office buildings. It is a regular pentagon, and the length of each of its sides is 921 ft. what is the area of land that the Pentagon covers to the nearest thousand square feet?

Solution

1) 618 cm².

2)  174 cm².

3)  123 yd².

4)  1460475 ft².

Find the perimeter area of each regular polygon. Leave your answer in simplest form.

Problem 1 :

Name of the shape = pentagon, length of apothem = 7.3 cm and side length = 10.6 cm

Solution

Problem 2 :

Name of the shape = triangle, length of apothem = 14 cm and side length = 28√3 cm

Solution

Problem 3 :

Name of the shape = 7-gon, length of apothem = 21.8 cm and side length = 21 cm

Solution

Problem 4 :

Name of the shape = octagon, length of apothem = 14.1 cm and side length = 11.7 cm

Solution

1) 193.45 cm2

2)  5883 cm2

3) 1602.3 cm2

4) 6593 cm2

Find the perimeter area of each regular polygon. Leave your answer in simplest form.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

1) Perimeter = 24 cm and area = 16√3 cm2

2) Perimeter = 97.3 cm and area = 700.56 cm2

3) Perimeter = 96 cm and area = 696 cm2

4) Perimeter = 37.5 cm and area = 95.625 cm2

5)  Perimeter = 108 cm and area = 891 cm2

6) Perimeter = 60 cm and area = 16√3 cm2

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