Exploring Area of Triangles and Parallelograms

This video tutorial covers the topic of calculating the area of various geometric shapes, including rectangles, squares, parallelograms, and triangles. It explains the formulas for each shape and emphasizes the importance of using perpendicular heights in calculations. The video also introduces composite figures, which are made up of multiple shapes, and demonstrates how to calculate their area by summing the areas of non-overlapping parts. Key concepts such as congruence and the properties of angles in parallelograms are also discussed.

What is the formula for the area of a rectangle?

• Base + Height

• Side x Side

• Base x Height

• Length + Width

If a square has a side length of 9 units, what is its area?

• 36 units squared

• 27 units squared

• 18 units squared

• 81 units squared

In a parallelogram, what must be true about the height used in the area calculation?

• It must be the longest side

• It must be parallel to the base

• It can be any side

• It must be perpendicular to the base

What property do opposite angles in a parallelogram have?

• They are supplementary

• They are congruent

• They are acute

• They are obtuse

How is the area of a triangle calculated?

• Base + Height

• Base x Height x 0.5

• 1/2 x Base x Height

• Base x Height

What is the area of a triangle with a base of 10 units and height of 6 units?

• 20 units squared

• 15 units squared

• 60 units squared

• 30 units squared

What is the area of a composite figure that includes a rectangle of 20 units squared and a triangle of 10 units squared?

• 200 units squared

• 30 units squared

• 15 units squared

• 10 units squared

How do you calculate the area of a composite figure?

• By subtracting the smaller area from the larger

• By adding the areas of non-overlapping parts

• By dividing the total area by the number of shapes

• By multiplying the areas of each shape

If a rectangle within a composite figure has an area of 50 units squared, what happens to the total area if another rectangle of 20 units squared is added?

• Increases by 30 units squared

• Increases by 20 units squared

• Increases by 70 units squared

• Increases by 50 units squared

What must be ensured when calculating the area of composite figures?

• Shapes must overlap

• Only triangles can be used

• No double-counting of any area

• All shapes must be the same size