Calculating Areas of Composite Shapes

The video tutorial explains how to find the area of a composite shape made from a rectangle and a triangle. It begins by calculating the area of the rectangle using its width and length. Then, it determines the base and height of the triangle by subtracting dimensions of the rectangle. The area of the triangle is calculated using the formula for the area of a triangle. Finally, the areas of the rectangle and triangle are added to find the total area of the shape.

What two shapes make up the composite shape whose area we need to find?

• Rectangle and triangle

• Triangle and circle

• Circle and square

• Square and rectangle

What is the formula to calculate the area of a rectangle?

• Length + Width

• Length x Height

• Length x Width

• 2 x (Length + Width)

What is the area of the rectangle with a width of 9 cm and a length of 15 cm?

• 135 cm²

• 150 cm²

• 120 cm²

• 140 cm²

What is the first step in finding the area of the composite shape?

• Find the area of the rectangle

• Add the areas of the rectangle and triangle

• Find the area of the triangle

• Subtract the areas of the rectangle and triangle

How do you find the base of the triangle in this problem?

• Add 7 cm to 15 cm

• Subtract 7 cm from 15 cm

• Multiply 7 cm by 15 cm

• Divide 15 cm by 7 cm

What is the base length of the triangle?

• 7 cm

• 15 cm

• 22 cm

• 8 cm

Which side of the rectangle is used to determine the base of the triangle?

• The length

• The diagonal

• The perimeter

• The width

How is the height of the triangle determined?

• Add 9 cm to 22 cm

• Subtract 9 cm from 22 cm

• Multiply 9 cm by 22 cm

• Divide 22 cm by 9 cm

What is the height of the triangle?

• 22 cm

• 15 cm

• 13 cm

• 9 cm

What is the length of the side of the rectangle that is used to find the height of the triangle?

• 15 cm

• 7 cm

• 9 cm

• 22 cm