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Area

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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  1. 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

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

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

  4. 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

  5. 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

  6. Find the area of a regular hexagon with side length of 8 m. Round your answer to the nearest tenth. 166.3 m2

  7. Find the area of a regular hexagon with side length of 4 cm. Round your answer to the nearest tenth. 41.6 cm2

  8. Find the area of an equilateral triangle with side 12.

  9. Find the area of the regular polygon. Round your answer to the nearest tenth. 483.0 in2

  10. 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?

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

  12. Find the area of the trapezoid. Leave your answer in simplest radical form. 5cm h 60° 7cm Find area. Find h.

  13. Find the area of the trapezoid. Leave your answer in simplest radical form. 11cm h 60° 16cm Find h. Find area.

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

  15. Find the area of kite KLMN. L 3m 2m M K 5m 3m KM=2+5=7 LN=3+3=6 N

  16. Find the area of kite KLMN. L 3m 1m M K 4m 3m KM=1+4=5 LN=3+3=6 N

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

  18. Find the area of the rhombus.

  19. B Find the area of rhombus ABCD. 15m E A C 12m D AC=12+12=24 BD=9+9=18

  20. 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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