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Decomposing Composite Figures Formed by Rectangles

T.I.P.S.

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Students must be able to decompose or break apart a composite figure formed by rectangles into separate rectangles that do not overlap, find the area of each rectangle, and add those areas to find the area of the original figure.

Example

What is the area of the shapes below? Show at least two ways for finding the area of each shape. 

36dexample

 Hint

Possible Solution 

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TEKS

Supporting Standard 

 3.6 Geometry and measurement. The student applies mathematical process standards to analyze attributes of two-dimensional geometric figures to develop generalizations about their properties. The student is expected to:

(D) decompose composite figures formed by rectangles into non-overlapping rectangles to determine the area of the original figure using the additive property of area

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