Exploring Area Calculations for Compound Figures

The video tutorial explores the properties and area calculations of common quadrilaterals, focusing on rectangles and squares. It explains how to calculate the area of these shapes using base and height, and extends this knowledge to compound figures by breaking them into simpler shapes. The tutorial emphasizes understanding congruent sides and angles, and using equations to find missing measurements.

What is a rectangle?

• A parallelogram with no right angles.

• A parallelogram with four right angles and two pairs of congruent opposite sides.

• A shape with four sides of equal length.

• A shape with three sides.

How do you find the area of a rectangle?

• Length times width

• Base times height

• Base plus height

• Length plus width

What is a square?

• A parallelogram with four right angles and four congruent sides.

• A shape with four sides of different lengths.

• A shape with three sides.

• A parallelogram with no right angles.

How do you find the area of a square?

• Base plus height

• Length plus width

• Base times height

• Side length squared

What is a compound figure?

• A shape with three sides.

• A parallelogram with no right angles.

• A shape with four sides of equal length.

• A shape made out of multiple simpler shapes.

How do you find the area of a compound figure?

• By adding the lengths of all sides.

• By subtracting the lengths of all sides.

• By multiplying the lengths of all sides.

• By summing the areas of the individual shapes that make up the compound figure.

What is the first step in breaking down a compound figure?

• Identify and separate the simpler shapes within the compound figure.

• Subtract the lengths of all sides.

• Multiply the lengths of all sides.

• Add the lengths of all sides.

If a compound figure is made up of two rectangles, how do you find the total area?

• Multiply the lengths of all sides.

• Subtract the lengths of all sides.

• Find the area of each rectangle and then add them together.

• Add the lengths of all sides.

In a compound figure, if one rectangle is 2 feet by 7 feet, what is its area?

• 5 square feet

• 9 square feet

• 12 square feet

• 14 square feet

If a compound figure includes a square with a side length of 4 feet, what is the area of the square?

• 8 square feet

• 20 square feet

• 12 square feet

• 16 square feet