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## Area of Triangles and Trapezoids

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**FYI**You can divide any parallelogram into two congruent triangles. So the area of each triangle is half the area of the parallelogram.**Example 1: Finding the Area of a Triangle**Find the area of the triangle.**FYI**Reading Math An altitude of a triangle is a perpendicular segment from one vertex to the line containing the opposite side. The length of the altitude is the height.**Example 2**Find the area of the triangle. 4 cm 11 cm**Example 3**The diagram shows the floor plan for a triangular dining area. What is the area of the floor? 6.2 m 34.8 m**Example 4: Application**The diagram shows the section of a forest being studied. What is the area of the section?**Example 5**Mitch uses the piece of wood shown as part of a skateboard ramp. Its area is 0.8 m . 2 What is the height of the piece of wood?. 2 m**Example 6**Mitch wants his skateboard ramp to be at least 750 cm tall. Should he use this piece of wood to build the ramp? Explain.?.**Example 7: Finding the Area of a Trapezoid**Find the area of the trapezoid.**Example 8**Lisa wants to cut a hole in the shape of a trapezoid out of a piece of wood. The figure shows her plans, and each square of the grid represents 1 ft . What is the area of the remaining wood after she cuts out the hole? 2**Example 9**The figure shows a vegetable garden that is planted with squash and carrots. To the nearest percent, how much of the vegetable garden is for squash?