Finding the Area of Composite Shapes

This video tutorial explains how to find the area of composite shapes by dividing them into simpler shapes like rectangles and triangles. It covers the process of identifying and calculating missing sides, using formulas to find the area of each part, and then summing these areas to get the total area. The tutorial includes examples with both rectangles and triangles, providing a step-by-step guide to solving these types of problems.

What is the first step in finding the area of a composite shape?

• Add the areas of all shapes together.

• Find the perimeter of the composite shape.

• Calculate the area of each shape separately.

• Divide the shape into simpler shapes.

What is the first step in solving area problems for composite shapes?

• Identify the types of shapes involved.

• Guess and check using different formulas.

• Calculate the total perimeter.

• Divide the composite shape into simpler shapes.

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CCSS.3.MD.C.7D

How do you find the missing side of a shape?

• Multiply the lengths of the known sides.

• Add the lengths of all visible sides.

• Subtract the known side from the total perimeter.

• Subtract the length of the known side from the total length of a parallel side.

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CCSS.3.MD.D.8

What formula is used to calculate the area of a rectangle?

• Length + Width

• (Length + Width) x 2

• Length x Width

• Length x Width / 2

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of the first rectangle in Example 1?

• 45 cm²

• 30 cm²

• 50 cm²

• 15 cm²

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CCSS.6.G.A.1

What is the area of the second shape in Example 1?

• 9 cm²

• 6 cm²

• 12 cm²

• 15 cm²

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CCSS.6.G.A.1

How do you find the base of the triangle in Example 2?

• Add the length of the known side to the total height.

• Multiply the height by 2.

• Divide the total width by the height.

• Subtract the length of the known side from 10 cm.

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CCSS.3.MD.D.8

What is the height of the triangle in Example 2?

• 6 cm

• 4 cm

• 3 cm

• 5 cm

What is the formula for the area of a triangle?

• (Base + Height) x 2

• Base x Height

• Base + Height

• Base x Height / 2

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CCSS.6.G.A.1

What is the total area of the composite shape in Example 2?

• 48 cm²

• 52 cm²

• 58 cm²

• 62 cm²