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Decompose the composite figure to find its total area.

Decompose the composite figure to find its total area.-example-1

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Answer: 36 m²

Explanation:

First, we will solve for the area of the triangles. Since they are congruent, we will multiply the height times the base. Usually, you would have to divide by two. However, since we have two congruent triangles, we will not be doing this.

A = BH

A = (2 m)(6 m)

A = 12 m²

Next, we will find the area of the rectangle. We will multiply the length by the width.

A = BH

A = (6 m)(4 m)

A = 24 m²

Lastly, we will add these two values together.

24 m² + 12 m² = 36 m²

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