Calculating Areas of Composite Figures

This video tutorial teaches students how to calculate the area of composite figures, which are shapes made up of two or more geometric shapes. The lesson includes several examples, such as combining rectangles, squares, triangles, and circles, to find the total area. Students learn to separate composite figures into basic shapes, calculate individual areas, and then combine or subtract these areas to find the total or shaded area.

What is a composite figure?

• A shape with curved edges

• A figure made up of two or more geometric shapes

• A figure with one geometric shape

• A 3D object

Tags

CCSS.1.G.A.2

How do you find the area of a composite figure?

• Divide the areas of individual shapes

• Add the areas of individual shapes

• Subtract the areas of individual shapes

• Multiply the areas of individual shapes

Tags

CCSS.3.MD.C.7D

What is the area of a rectangle with a length of 10 meters and a width of 2 meters?

• 12 square meters

• 5 square meters

• 20 square meters

• 30 square meters

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of a square with a side length of 7 cm?

• 49 square centimeters

• 14 square centimeters

• 21 square centimeters

• 28 square centimeters

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How do you calculate the area of a triangle?

• Base plus height

• Base times height

• Base plus height divided by two

• Base times height divided by two

Tags

CCSS.6.G.A.1

What is the formula for the area of a circle?

• Pi times radius

• Pi times diameter

• Pi times radius squared

• 2 times Pi times radius

Tags

CCSS.7.G.B.4

How do you find the area of the shaded part in a figure with a square and a circle?

• Multiply the areas of the square and circle

• Add the areas of the square and circle

• Subtract the area of the circle from the square

• Divide the area of the square by the circle

Tags

CCSS.3.MD.C.7D

What is the correct value of Pi used in area calculations?

• 22/7

• 3.14

• 3

• 3.14159

Tags

CCSS.HSG.GMD.A.1

What is the area of a semicircle with a diameter of 8 cm?

• 100.48 square centimeters

• 25.12 square centimeters

• 12.56 square centimeters

• 50.24 square centimeters

Tags

CCSS.7.G.B.4

How do you calculate the area of a composite figure consisting of a triangle and a semicircle?

• Divide the area of the triangle by the semicircle

• Subtract the areas of the triangle and semicircle

• Multiply the areas of the triangle and semicircle

• Add the areas of the triangle and semicircle

Tags

CCSS.3.MD.C.7D