Composite Figures and Area Calculations

The video tutorial covers the concept of composite figures, which are made up of simpler shapes like triangles, rectangles, and squares. It explains how to calculate the area of these figures by breaking them down into their component shapes, calculating each area, and then summing them up. The tutorial includes several examples, demonstrating the process of finding areas of composite figures and shaded regions. It emphasizes the use of formulas for different shapes and provides step-by-step guidance for each example.

What is a composite figure?

• A shape made of only quadrilaterals

• A shape made of only triangles

• A shape with no defined area

• A shape made of two or more simpler figures

How do you calculate the area of a rectangle?

• Length times width

• Base plus height

• Length plus width

• Base times height

What is the formula for the area of a triangle?

• One-half base times height

• Base plus height

• Length times width

• Base times height

How do you find the area of a square?

• Side squared

• One-half base times height

• Base times height

• Length plus width

What is the total area of the composite figure with two rectangles and a square?

• 96 square feet

• 112 square feet

• 128 square feet

• 80 square feet

What shapes are involved in the new composite figure introduced?

• Trapezoid, square, and triangle

• Square, rectangle, and circle

• Circle, square, and triangle

• Rectangle, circle, and triangle

What is the area of the triangle in the new composite figure?

• 48 square centimeters

• 96 square centimeters

• 144 square centimeters

• 192 square centimeters

How do you calculate the area of a trapezoid?

• Base times height

• One-half times the sum of the bases times height

• Length times width

• Base plus height

What is the total area of the second composite figure?

• 303 square centimeters

• 320 square centimeters

• 350 square centimeters

• 375 square centimeters

How do you find the area of a shaded region?

• Multiply the area of the cut-out by the total area

• Add the area of the cut-out to the total area

• Subtract the area of the cut-out from the total area

• Divide the area of the cut-out by the total area