Calculating Areas of Shapes

This video tutorial covers the concepts of bases and heights in triangles, demonstrating how to draw corresponding heights at 90-degree angles. It explains how to calculate the area of triangles using the formula base times height divided by two, and identifies triangles with specific areas. The tutorial also includes examples of selecting appropriate bases and heights, decomposing complex shapes to find total area, and comparing areas of different parallelograms.

What is the correct way to draw the height of a triangle?

• At any angle to the base

• At a 45-degree angle to the base

• At a 90-degree angle to the base

• Parallel to the base

Which triangles have an area of 8 square units?

• Triangles A, B, D, and E

• Triangles A, C, and D

• Triangles B, C, and E

• Triangles A, B, and C

How do you calculate the area of a triangle?

• Base times height

• Base times height divided by 2

• Base plus height

• Base minus height

What is the area of a triangle with a base of 6 units and a height of 4 units?

• 14 square units

• 12 square units

• 10 square units

• 16 square units

Can side D be used as the base of a triangle?

• No, it cannot be used

• Yes, with any height

• Yes, with a height at a 90-degree angle

• Yes, with a height at a 45-degree angle

What is the total area of a shape decomposed into a rectangle and triangles?

• 16 square units

• 18 square units

• 20 square units

• 22 square units

How do you find the area of a parallelogram?

• Base minus height

• Base plus height

• Base times height

• Base divided by height

What is the area of a square with a base of 4 and a height of 4?

• 12 square units

• 14 square units

• 16 square units

• 18 square units

What is the area of a rectangle with a base of 8 and a height of 2?

• 18 square units

• 14 square units

• 12 square units

• 16 square units

Which of the following shapes can be decomposed to find its area?

• Complex polygon

• Triangle

• Square

• Circle