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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. - PowerPoint PPT Presentation

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Page 1: Area
Page 2: Area

Area

50505040404040

303030303020202020201010101010

RhombusKiteTrapezoidPolygonsPolygons

Page 3: Area

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

5.672451

mm

Page 4: Area

Given the regular hexagon, find the measure of each

numbered angle.

603302601

mmm

Page 5: Area

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

to the nearest tenth.to the nearest tenth.

937.9 ft2

Page 6: Area

Find the area of a regular Find the area of a regular hexagon with an apothem 8.7 feet hexagon with an apothem 8.7 feet

long and a side 10 feet long. long and a side 10 feet long. Round your answer to the nearest Round your answer to the nearest

tenth.tenth.

259.8 ft2

Page 7: Area

Find the area of a regular hexagon with side length of 8 m. Round

your answer to the nearest tenth.

166.3 m2

Page 8: Area

Find the area of a regular hexagon with side length of 4 cm. Round your

answer to the nearest tenth.

41.6 cm2

Page 9: Area

Find the area of an equilateral triangle with side 12.

336

Page 10: Area

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

the nearest tenth.

483.0 in2

Page 11: Area

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?

235.73 cm

Page 12: Area

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

23144 m

Page 13: Area

2

21

66.303

)32.607(21

)2.48)(6.12(21

)2.2919)(6.12(21

)(21

inA

A

A

A

bbhA

Page 14: Area

2

21

70

)140(21

)20)(7(21

)128)(7(21

)(21

inA

A

A

A

bbhA

Page 15: Area

SLSL

SLhyp

428

2.

3443

3

LLLL

SLLL

332

)364(21

)16)(34(21

)106)(34(21

)(21

21

A

A

A

A

bbhA

Page 16: Area

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

7cm7cm)(21

21 bbhA

hh

Find h. SLLL 3

23 h32h

Find area. )57)(32(2

1A

)12)(32(21

A

)12)(31(A2312 cmA

60°60°

5cm5cm

Page 17: Area

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

16cm16cm)(21

21 bbhA

hh

Find h. SLLL 3

53 h35h

Find area. )1611)(35(2

1A

)27)(35(21

A

)27)(35.2(A235.67 cmA

60°60°

11cm11cm

Page 18: Area

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

8.36)6.73(2

1)8)(2.9(2

121

21

A

A

A

ddA

Page 19: Area

Find the area of kite KLMN.

2m5m

3m

3mKK

LL

MM

NN

KM=2+5=7LN=3+3=6

2121 ddA

)6)(7(21

A

)42(21

A

221mA

Page 20: Area

Find the area of kite KLMN.

1m4m

3m

3mKK

LL

MM

NNKM=1+4=5LN=3+3=6

2121 ddA

)6)(5(21

A

)30(21

A

215mA

Page 21: Area

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

2121 ddA

)9)(12(21

A

)108(21

A

254mA

Page 22: Area
Page 23: Area

Find the area of the rhombus.Find the area of the rhombus.

128)256(2

1)16)(16(2

121

21

A

A

A

ddA

Page 24: Area

Find the area of rhombus ABCD. 15m

12mAA

BB

CC

DD

2121 ddA

)24)(18(21

A

)432(21

A

2216mA

EE

222 cba 222 1512 b

225144 2 b812 b

812 b9b

AC=12+12=2424BDBD=9+9=1818

Page 25: Area

Find the area of rhombus ABCD. 13m

24mAA

BB

CC

DD212

1 ddA

)24)(10(21

A

)240(21

A

2120mA

222 cba 222 1312 b

169144 2 b252 b

252 b5b

AC=12+12=2424BDBD=5+5=1010

12m 12mEE

Page 26: Area
Page 27: Area