Area: Rectangles, Squares, Triangles, Parallelograms, Circles, Trapezoids

Definition: Area is the total amount of space inside a two dimensional shape. Area is measured in square units, such as “square meters” or m².

Each two dimensional figure has its own unique area formula.

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Example: Find the area of the figure

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Solution:

Determine the appropriate area formula for this figure and plug in the given values.

Step 1: Identify the figure.

As this figure has exactly one pair of parallel sides, we know it is a trapezoid and can apply the following formula:
Area = 1/2 ( base₁ + base₂ ) * height

Step 2: Plug the given values into the formula.

This figure has a height of 6ft, and two bases with lengths of 4ft and 9ft. Plugging this information into the formula we get:

Area = 1/2 ( 4 + 9 ) * 6

Step 3: Solve for the area.

Area = 1/2 (13) * 6
Area = 3 * 13
Area = 39

Because area is always measured in square units, we will label this answer as:
A = 39 square feet or 39 ft²

You can also find another example here.

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