Area and Perimeter Concepts

Mrs. Cruz introduces the concept of composite figures, which are made up of two or more geometric shapes. She provides three examples to demonstrate how to calculate the area of composite figures using known formulas for individual shapes. The first example involves a triangle and a square, the second a square and a half circle, and the third a square and a trapezoid. Each example is broken down into steps, showing how to calculate the area of each shape and then combine them to find the total area of the composite figure.

What is a composite figure?

• A figure made up of only one geometric shape

• A figure that cannot be measured

• A figure made up of two or more geometric shapes

• A figure that is always a circle

Which of the following is NOT a composite figure?

• A square and a triangle combined

• Two rectangles combined

• A single circle

• A square and a half-circle combined

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

• Add all the sides together

• Identify and separate the individual shapes

• Multiply the lengths of all sides

• Divide the figure into four equal parts

What is the formula for the area of a triangle?

• Base minus height

• Base times height

• Base times height divided by two

• Base plus height

In Example 1, what is the area of the triangle?

• 81 square feet

• 27 square feet

• 54 square feet

• 108 square feet

What is the formula for the area of a square?

• Side minus side

• Side divided by side

• Side plus side

• Side times side

In Example 1, what is the total area of the composite figure?

• 27 square feet

• 108 square feet

• 81 square feet

• 54 square feet

What is the first step in calculating the area of a composite figure with a triangle and a square?

• Subtract the area of the triangle from the square

• Find the area of the square first

• Add the perimeters of both shapes

• Find the area of the triangle first

In Example 1, what is the base length of the triangle?

• 3 feet

• 12 feet

• 6 feet

• 9 feet

In Example 1, what is the height of the triangle?

• 3 feet

• 12 feet

• 6 feet

• 9 feet