1.7 Introduction to Perimeter, Circumference,

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Polygons and Perimeter

• Geometry
• By Sheila Ballard
• KL Schofield

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Concave or convex?

• Convex no points of the lines are in the
  interior

• Concave some of the lines pass through the
  interior

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Polygons are named by their number of sides.

• of
• Sides Polygon Name
• 3 Triangle
• 4 Quadrilateral
• 5 Pentagon
• 6 Hexagon
• 7 Heptagon

of Sides Polygon Name 8 Octagon
9 Nonagon 10 Decagon 12
Dodecagon 15 Pentadecagon
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Perimeter

• To find the perimeter of any figure you can
  simple add all the sides of the figure.
• Some figures do have formulas
• Rectangle P 2L 2w
• Square P 4s

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• What is the perimeter of the given quadrilateral?

Dont forget the unlabeled sides.
3 in
3 3 5 5 16 in
5 in
Perimeter units are always to the first power
in, ft, m, etc.
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A regular octagon has a side length of ¾ inch.
What is the perimeter?

• Two ways to find the perimeter.
• ¾
• ¾
• ¾
• ¾
• ¾
• ¾
• ¾
• ¾
• 24/4 6 inches

Or, since there are 8 sides the same length
8 6 inches
3 4
3 4
8 1
2

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Find the perimeter of the given figure.

• You try.

3 m
7 m
5 m
4 m
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• Caleb delivers newspapers in a rectangular route.
  He knows the total distance is 4,490 yards and
  the length of the shorter side of the route is
  699 yards. What is the length of the longer side?

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• Luke walks his dog in a rectangular route. He
  knows the total distance is 6,960 yards and the
  length of the shorter side of the route is 1,716
  yards. What is the length of the longer side?

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• A triangle has a perimeter of 70 inches. Find
  the lengths of the three sides if one side is 25
  inches longer than the shortest side and the
  length of the third side is three times the
  shortest side.

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• The perimeter of a rectangle is 78 inches. If the
  length of the rectangle is seven inches more than
  three times the width, find the dimensions.

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• A wooden fence is to be built around a 38 m-by-42
  m lot. How many meters of fencing will be
  needed? If the wood for the fence costs 41.25
  per meter what will the wood for the fence cost?