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# Finding Area

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### Transcript

• 1. Area The size of a surface in square units
• 2. Area of a Rectangle
• A rectangle with a length of 2 units and width of 3 units has an area of 6 square units .
• The formula is ;
• Area of rectangle = length x width
or base x height 2 3 1 2 3 4 5 6 length width
• 3. Area of a Square
• A square is a rectangle with all sides the same, so the formula can be simplified.
• The formula is ;
• Area of square = side x side
2 2 1 2 3 4 side or side squared (side ) 2
• 4. Area of a Triangle
• Suppose you have a triangle that is 3 units wide and 2 units high .
• Notice what shape a triangle makes if you cut it and copy the pieces.
• It becomes a rectangle whose area is base x height.
• Notice that two whole triangles can fit into that same rectangle, meaning one triangle is only half of the area of that rectangle
• therefore; Area of a Triangle = (base x height)/2
base height Note that the height is always 90 degrees to the base. 2 3
• 5. Area of a Parallelogram
• Suppose you have a parallelogram that is 3 units wide and 2 units high .
• Notice what shape it makes if you cut off the end and put it on the other side.
• It becomes a rectangle whose area is base x height.
• therefore; Area of a Parallelogram = base x height
base height 2 3
• 6. Area of a Trapezoid
• Suppose you have a trapezoid that is 7 units wide on the bottom, 1 wide on the top, and 2 units high .
• Notice what shape it makes if you cut off the ends at half the height and shift upwards.
• It becomes a rectangle whose base is (top + bottom)/2.
• therefore; Area of a Trapezoid = (top + bottom)/2 x height
1 4 2 7 4
• 7. Summary
• Area of rectangle = length x width
length width
• 8. Summary
• Area of rectangle = length x width
• Area of square = side x side
side side
• 9. Summary
• Area of rectangle = length x width
• Area of square = side x side
• Area of triangle = (base x height)/2
height base
• 10. Summary
• Area of rectangle = length x width
• Area of square = side x side
• Area of triangle = (base x height)/2
• Area of parallelogram = base x height
height base
• 11. Summary
• Area of rectangle = length x width
• Area of square = side x side
• Area of triangle = (base x height)/2
• Area of parallelogram = base x height
• Area of trapezoid = (top + bottom)/2 x height
bottom top height