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Warm Up

Warm Up. ) The diagonal of a square is 10 cm . Find the length of a side of the square. Then find the area of the square. The area of a square is 20 cm 2 . Find the length of its diagonal. (leave answer in simp. rad. form). 15 in 2 12 m 2 12 3 m 2. 108 3 cm 2 472 in 2 128 m 2.

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Warm Up

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  1. Warm Up ) • The diagonal of a square is 10 cm. Find the length of a side of the square. Then find the area of the square. • The area of a square is 20 cm2. Find the length of its diagonal. (leave answer in simp. rad. form)

  2. 15 in2 12 m2 123 m2 1083 cm2 472 in2 128 m2 Homework Solutions7.4 Practice Problems W.S. Area of Trapezoid =

  3. 1200 ft2 96 in2 18 cm2 323 ft2 21 m2 80 in2 Homework Solutions7.4 Practice Problems W.S. Area of Rhombus or Kite =

  4. TEST on FRIDAY!! Areas of Regular PolygonsToolkit #7-5 Today’s Goal(s): To find the area of regular polygons using the length of the apothem and the perimeter.

  5. Radius:the distance from the center to a vertex. Apothem:perpendicular distance from the center to a side.

  6. Area of a Regular Polygon • Half the product of the apothem (a) and the perimeter (p).

  7. STOP and THINK!Can you find a special right triangle in each regular polygon? Triangle Hexagon Square

  8. Finding AREATriangle (We will do two examples!)

  9. Now, let’s find the area when given a side length. I need to find the length of the apothem!

  10. Finding AREASquare (We will do two examples!) You Try…

  11. Finding AREAHexagon(We will do two examples!)

  12. Now, let’s find the area when given a side length. I need to find the length of the apothem!

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