Area Calculations in Composite Figures

This video tutorial from Moomoomath explains how to find the area of composite figures, which are made up of multiple geometric shapes. It covers calculating the area of a rectangle and a triangle, and then combining these to find the total area. The tutorial also demonstrates finding the shaded area in a composite figure by subtracting the area of smaller shapes from a larger one. Finally, it explains how to calculate the area of semicircles, using the formula for a circle's area and adjusting for the semicircle. The video emphasizes the importance of using correct units of measure.

What is the formula for calculating the area of a rectangle?

• Length + Width

• 2 x (Length + Width)

• Length x Width

• Length x Width x Height

Tags

CCSS.6.G.A.1

How do you calculate the area of a triangle?

• Base x Height x 2

• 1/2 x Base x Height

• Base x Height

• Base + Height

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

In the example, what is the area of the rectangle?

• 42 square meters

• 21 square meters

• 60 square meters

• 81 square meters

Tags

CCSS.6.G.A.1

What is the total area of the composite figure consisting of a rectangle and a triangle?

• 42 square meters

• 60 square meters

• 21 square meters

• 81 square meters

Tags

CCSS.3.MD.C.7D

How do you find the shaded area in a composite figure with a rectangle and two smaller boxes?

• Multiply the areas of all shapes

• Subtract the area of the boxes from the rectangle

• Add the areas of all shapes

• Divide the area of the rectangle by the area of the boxes

What is the total area of the shaded region in the second example?

• 640 square feet

• 128 square feet

• 512 square feet

• 256 square feet

Tags

CCSS.7.G.B.4

What is the formula for the area of a semicircle?

• Pi x Radius squared

• Pi x Diameter

• 1/2 x Pi x Radius squared

• 2 x Pi x Radius

Tags

CCSS.7.G.B.4

If a semicircle has a diameter of 6, what is its radius?

• 12

• 6

• 3

• 1.5

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CCSS.7.G.B.4

What is the area of a semicircle with a radius of 3?

• 4.5 Pi

• 9 Pi

• 3 Pi

• 6 Pi

What is the combined area of two semicircles with radii 3 and 2.5?

• 5.5 Pi

• 6.25 Pi

• 7.625 Pi

• 8 Pi