Exploring Area Calculations for Composite Figures

What is a composite figure?

• A single geometric shape

• A 3D object made from squares

• A figure composed of two or more shapes

• A shape made up of only triangles

Tags

CCSS.1.G.A.2

How do you find the area of a rectangle?

• Side times side

• Base times height

• Length times width divided by two

• Length plus width

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How do you find the area of a trapezoid?

• Base times height divided by 2

• Base times height

• (Base1 plus Base2) divided by 2 times height

• (Base1 plus Base2) times height

Tags

CCSS.6.G.A.1

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

• Base plus height

• Side times side

• Base times height divided by two

• Base times height

Tags

CCSS.6.G.A.1

How can the area of a square be expressed?

• Length plus width

• Base times height

• Side squared

• Side times two

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of a composite figure made of a square with side 5 units and a triangle with base 3 units and height 5 units?

• 25 units squared

• 32.5 units squared

• 7.5 units squared

• 15 units squared

Tags

CCSS.6.G.A.1

When decomposing a composite figure, what is crucial to remember?

• Only use one formula

• Guess the measurements

• Draw the shapes and apply correct formulas

• Ignore one of the shapes

Tags

CCSS.3.MD.C.7D

If a composite figure is made of a rectangle and a triangle, how do you find its total area?

• Divide the area of the rectangle by the area of the triangle

• Add the area of the rectangle to the area of the triangle

• Subtract the area of the triangle from the rectangle

• Multiply the areas of both shapes

Tags

CCSS.3.MD.C.7D

In solving composite figure problems, why might it be helpful to decompose the figure in more than one way?

• To check the accuracy of the solution

• To use less formulas

• To make the problem unsolvable

• To ensure the calculation is more complex

Tags

CCSS.3.MD.C.7D

What is the area of a rectangle with a base of 11 feet and height of 4 feet?

• 44 feet squared

• 22 feet squared

• 8 feet squared

• 15 feet squared

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3