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# Finding Area

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### Finding Area

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