Area
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Polygons. Polygons. Trapezoid. Kite. Rhombus. 10. 10. 10. 10. 10. 20. 20. 20. 20. 20. 30. 30. 30. 30. 30. 40. 40. 40. 40. 50. 50. 50. Area. Given the regular polygon, find the measure of each numbered angle.

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Area

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Polygons

Polygons

Trapezoid

Kite

Rhombus

10

10

10

10

10

20

20

20

20

20

30

30

30

30

30

40

40

40

40

50

50

50

Area


Given the regular polygon, find the measure of each numbered angle.


Given the regular hexagon, find the measure of each numbered angle.


Find the area of a regular hexagon with an apothem 16.5 feet long and a side 19 feet long. Round your answer to the nearest tenth.

937.9 ft2


Find the area of a regular hexagon with an apothem 8.7 feet long and a side 10 feet long. Round your answer to the nearest tenth.

259.8 ft2


Find the area of a regular hexagon with side length of 8 m. Round your answer to the nearest tenth.

166.3 m2


Find the area of a regular hexagon with side length of 4 cm. Round your answer to the nearest tenth.

41.6 cm2


Find the area of an equilateral triangle with side 12.


Find the area of the regular polygon. Round your answer to the nearest tenth.

483.0 in2


You are planning to use a ceramic tile design in your new bathroom. The tiles are blue and white equilateral triangles. You decide to arrange the blue tiles in a hexagonal shape as shown. If the side of each tile measures 7 centimeters, what will be the exact area of each hexagonal shape?


Find the area of an equilateral triangle with radius 8√3 m. Leave your answer in simplest radical form.


Find the area of the trapezoid. Leave your answer in simplest radical form.

5cm

h

60°

7cm

Find area.

Find h.


Find the area of the trapezoid. Leave your answer in simplest radical form.

11cm

h

60°

16cm

Find h.

Find area.


A kite has diagonals 9.2 ft and 8 ft. What is the area of the kite?


Find the area of kite KLMN.

L

3m

2m

M

K

5m

3m

KM=2+5=7

LN=3+3=6

N


Find the area of kite KLMN.

L

3m

1m

M

K

4m

3m

KM=1+4=5

LN=3+3=6

N


Find the area of kite with diagonals that are 12 in. and 9 in. long.


Find the area of the rhombus.


B

Find the area of rhombus ABCD.

15m

E

A

C

12m

D

AC=12+12=24

BD=9+9=18


Find the area of rhombus ABCD.

B

13m

24m

E

A

C

12m

12m

D

AC=12+12=24

BD=5+5=10


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