How are the formulas for the area of a rectangle and the area of a triangle related? How can they be used to determine the area of a composite, or nonstandard, shape?

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EXPLANATION

The area of a rectangle is as follows:

[tex]\text{Area}_{\text{rectangle}}=\text{base }\cdot\text{ height}[/tex]

The area of a triangle:

[tex]\text{Area}_{triangle}=\frac{1}{2}\text{base}\cdot\text{height}[/tex]

So the Area of a triangle is a half the area of a rectangle:

We can decompose the irregular or nonstandard shape as the sum of multiply triangles.

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