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Area and Perimeter

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Find the shaded area ... Default Design Microsoft Equation 3.0 Area and Perimeter AREA Perimeter Some shapes have there own formulas for area Rectangle ... – PowerPoint PPT presentation

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Title: Area and Perimeter


1
Area and Perimeter
  • Yes you do need to write this.

2
AREA
  • The amount of space inside a
    2-dimensional object.
  • Measured in square units cm2, m2, mm2
  • Not to be confused with

3
Perimeter
  • The distance around a two dimensional object.
  • Measured in normal units eg. cm, m, mm

4
Some shapes have there own formulas for area
  • Yes, you do need to draw these as well.

5
Rectangle
  • b
  • a
  • Area of a rectangle
  • ab (length x width)
  • Perimeter 2a 2b
  • 2(a b)

6
No, you dont have to try one.
7
Parallelogram
  • a
  • b
  • a is the vertical height
  • Parallelogram quadrilateral with two pairs of
    parallel sides.
  • Area ab
  • Can not work out the perimeter with the
    information given.

8
One to try
  • 6cm
  • 7cm
  • Area 6 x 7 42 cm2

9
Triangle Area ½ bh( h is the vertical
height)
  • h h
  • b b

10
Trapezium(a quadrilateral with one pair of
parallel sides)
  • a
  • h
  • b
  • Add together the parallel sides, divide by 2 and
    then multiply by the distance between them.
  • Area (a b) x h
  • 2

11
Example
  • 2cm
  • 10cm
  • 5cm
  • Area (2 5) x 10
  • 2
  • 3.5 x 10
  • 35 cm2

12
Compound Shapes
  • These are shapes made by joining two or more
    shapes together.
  • To find the area, find the area of the smaller
    shapes and add together.

13
Example.
  • 7cm
  • 10cm
  • 8cm
  • 3cm
  • 7cm
  • 2cm
  • 8cm
  • 3cm

X
Y
14
Example.
Area of X 7 x 2 14 cm2 Area
of Y 3 x 8 24 cm2 Total area
14 24 38 cm2

7cm
2cm
8cm 3cm
X
Y
15
Last one.Find the shaded area
  • 10cm
  • 10cm

  • Area of square 10 x 10
  • 100 cm2
  • A. of triangle ½ x 3 x 4
  • 6 cm2
  • Shaded area 100 6
  • 94 cm2

3cm
3cm
4cm
16
The only part left is circles(always a circle
question)
  • And then its volume.
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