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 with straight sides. Understanding the properties of polygons, such as the number of sides, symmetry, and internal angles, is essential when performing geometric operations, including area calculations and decomposing the figure for analysis.

Altitude

The altitude (or height) in a polygon, especially in triangles and parallelograms, is defined as the perpendicular distance from a chosen base to the opposite side or vertex. It is a key measurement because many area formulas rely on the base-altitude pair to determine the overall area of the shape.

Area Calculation

Calculating the area of a polygon typically involves selecting a base and determining the corresponding altitude. Once these measurements are identified, the appropriate area formula, such as using half the product of the base and altitude for a triangle or the product of base and height for parallelograms, can be applied. This process often includes decomposing complex polygons into simpler components to simplify the computation.

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