1. Area of a a parallelogram
In a parallelogram, the height is a segment perpendicular to both bases

2. If a diagonal is drawn in a parallelogram, 2 identical triangles are formed.

3. The area of a parallelogram is twice the area of one of the triangles, so an expression to find the area of a parallelogram could be written
A = 2 (1/2 bh) which simplifies to
A = bh

4. Area of a parallelogram
A = bh
Where b is the length of the base and h is the perpendicular height

5. Since rectangles, rhombuses, and squares are all parallelograms, the area of these shapes can also be found using the same formula
A = bh

6. Find the area of each of the following:
Square rectangle
3 yd.
12 in.
22 in.
3 yd.
parallelogram
15 ft
9 ft.
8 ft.

7. Trapezoid
A trapezoid is a quadrilateral with exactly 1 pair of parallel sides
The height of the trapezoid is the a segment that is perpendicular to both parallel sides of the trapezoid- these parallel sides are the bases- b1 and b2 b1 h b2

8. A = 1/2 (b1 + b2 ) h Area of a trapezoid
Where b1 and b2 are the bases and h is the perpendicular height

9. Finding areas of trapezoids

10. A rhombus's diagonals are perpendicular and bisect each other

11. Area of a rhombus
Since a rhombus is a parallelogram, you can use the formula for parallelogram
A = bh Or
You can use the diagonals formula
A = 1/2 d1 d2
Where d1 and d2 represent the diagonals of the rhombus

12. Find the area of the rhombus
Use the parallelogram formula or the diagonal formula
30 in
6 ft
11 in.
5 ft