Calculating Areas of Compound Shapes

The video tutorial explains how to calculate the area of compound shapes by dividing them into simpler rectangles. It demonstrates the process using two examples, first by splitting a shape into two rectangles and calculating their areas, and then by providing a student exercise with a solution walkthrough. The tutorial emphasizes understanding dimensions and using basic arithmetic to find areas.

What defines a compound shape in the context of this lesson?

• A shape made up of multiple circles.

• A shape made up of multiple rectangles.

• A shape made up of multiple triangles.

• A shape made up of multiple squares.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How do you calculate the area of a rectangle?

• Length / Width

• Length - Width

• Length * Width

• Length + Width

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of rectangle A if its length is 13 cm and width is 7 cm?

• 91 cm squared

• 20 cm squared

• 84 cm squared

• 100 cm squared

Tags

CCSS.2.MD.B.5

If the total length of the shape is 14 cm and part of it is 7 cm, what is the remaining length?

• 5 cm

• 7 cm

• 8 cm

• 6 cm

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CCSS.4.MD.A.2

What is the width of rectangle B if the total width is 13 cm and part of it is 7 cm?

• 5 cm

• 7 cm

• 8 cm

• 6 cm

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of rectangle B if its length is 7 cm and width is 6 cm?

• 48 cm squared

• 45 cm squared

• 40 cm squared

• 42 cm squared

Tags

CCSS.6.G.A.1

What is the total area of the compound shape made up of rectangles A and B?

• 133 cm squared

• 140 cm squared

• 120 cm squared

• 130 cm squared

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of rectangle A in the example problem if its length is 6 m and width is 3 m?

• 18 m squared

• 20 m squared

• 15 m squared

• 21 m squared

Tags

CCSS.2.MD.B.5

What is the length of rectangle B in the example problem if the total length is 9 m and the sum of other parts is 5 m?

• 3 m

• 4 m

• 5 m

• 6 m

Tags

CCSS.6.G.A.1

What is the total area of the compound shape in the example problem?

• 30 m squared

• 32 m squared

• 28 m squared

• 34 m squared

Tags

CCSS.6.G.A.1