Area of Compound Figures Worksheet

Calculate the area of various compound figures by decomposing them into simpler shapes. Includes figures with circles, rectangles, and triangles.

Grade 12 Math GeometryAreaArea of Compound Figures

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4 Short Answer

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CCSS.MATH.CONTENT.HSG.GMD.A.3CCSS.MATH.CONTENT.HSG.MG.A.1

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geometryareacompound figuresgrade 12

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Area of Compound Figures

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Calculate the area of each compound figure. Show all your work and round your answers to two decimal places where necessary. Use π ≈ 3.14.

1. Find the area of the following figure, composed of a rectangle and a semicircle.

2. Calculate the area of the figure below, which consists of a rectangle with a triangular cutout.

3. Determine the area of the shaded region, formed by a large square with a circular hole.

4. A composite shape is made of a rectangle measuring 10 cm by 6 cm, with an equilateral triangle of side 6 cm attached to one of its 6 cm sides. Find the total area.