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Geometry Drill 4/8/13
 In your own words define
  perimeter and area
 Make a list of any formula you

  know that applies to perimeter or
  area of a geometric figure.
April is Math Month
Geometry
Find the distance


between points
A(1,4) and B(-3,9)
Objective
 SW recall area and

  perimeter formulas so
  that they can find the
  area and perimeter of
  irregular regions.
Compare:
 Regular polygons vs.

  polygons
Perimeter of a
Rectangle

P=2b+2h
                 h

           b
Area of a Rectangle

 A=bh
                 h

          b
Area of a Triangle

 A=(1/2)bh
                     h

           b
Irregular Region
  A region(shape)

   composed of many
   smaller
   regions(shapes)
Area of an Irregular
Region
 The sum of the areas

  of all the non-
  overlapping parts of
  the region
Find the area of the
irregular region


                       2


    3        4
Perimeter of an
Irregular Region
The distance


around the
region.
Find the Perimeter of
the region


                        2


    3        4
Conclusions
   1) To find the area of an
    irregular region, find the
    areas of its smaller
    _____ and find their
    _____.
Conclusions
   1) To find the area of an
    irregular region, find the
    areas of its smaller
    _____ and find their
     parts
    _____.
      sum
Conclusions
   2) To find the perimeter
    of an irregular region,
    find the ________
    around the region.
Conclusions
   2) To find the perimeter
    of an irregular region,
    find the ________
              distance
    around the region.
Find the perimeter of
 rectangle ABCD         B
     C
    3 in.
                5 in.
      D     4 in.       A
EXPLORATION
We know how to find
 the area of a rectangle.
 How can I form a
 rectangle from this
 parallelogram?
Parallelogram
Parallelogram
Parallelogram
Parallelogram
Parallelogram
Parallelogram
Rectangle
b2
h
        b1



         b2
    h
             b1
b2
h
        b1



         b2
    h
             b1
b2       b2
h        h
    b1
              b1
b1
             b2
h
         h
    b2
              b1
b1                   b2
                 h
b2                    b1

 Parallelogram
AREA OF A
PARALLELOGRAM

A = bh
Find the area:
 7    5


     8
Find the area:
 2               4


     5
AREA OF A
TRIANGLE
A = 1/2(bh)
Find the area:
 6
     5

         10
Find the area:
          15
    9

         12
AREA OF A
TRAPEZOID
A = h/2(b1+b2)
b1 and b2 are the
 bases
Find the area:
            12

    5

        8
ALTERNATE
FORMULA AREA
OF A TRAPEZOID
A = length of
median times the
height
Find the Area of
Trapezoid ABCD

         10
              12
ABCD is a rhombus with
diagonals d1 & d2
       A          B




   D          C
AREA OF A
RHOMBUS
A = 1/2(d1d2)
d1 and d2 are the
 diagonals
Area of a
Rhombus
Find the area of a
 rhombus if the lengths
 of the diagonals are
 12m and 10 m.

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