Find the area of each of the following polygons by doing...

Find the area of each of the following polygons by doing each of the following steps:
a) Copy the figure.
b) Draw an altitude.
c) Find the length of the altitude.
d) Find the area of the polygon.
(FIGURE CAN'T COPY)

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Key Concepts

Polygon

A polygon is a closed two-dimensional figure made up of straight line segments. Understanding polygons involves knowing properties such as the number of sides and vertices, which can influence how the area is calculated and how additional constructions like altitudes are used.

Altitude

In geometry, an altitude is a perpendicular segment drawn from a vertex of a polygon (often a triangle or trapezoid) to the line containing the opposite side. It serves as the height in area calculations and is crucial for establishing the relationship between the base and the area of the shape.

Area Calculation

Calculating the area of a polygon involves determining the measure of the region enclosed by the shape. This often requires identifying a base and its corresponding altitude to apply standard area formulas, especially for triangles and other shapes that can be decomposed into triangles.

Diagram Construction

Creating an accurate representation of the figure, including labeling key components like altitudes and bases, is an essential step in problem-solving. Drawing or copying the figure helps in visualizing the problem and ensures that the calculations for lengths and areas are based on a clear understanding of the figure's structure.

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