Calculating Areas of 2D Shapes

This video tutorial covers the calculation of areas for various 2D shapes, including squares, rectangles, parallelograms, triangles, and trapeziums. It explains the formulas for each shape, emphasizing the importance of using perpendicular heights. The tutorial also demonstrates how to find the area of composite shapes by breaking them into known shapes and calculating shaded areas by subtracting smaller areas from larger ones.

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

• Side x Side

• Base x Height

• Length + Width

• Perimeter / 4

What is the area of a rectangle with a base of 3 cm and height of 4 cm?

• 7 cm squared

• 6 cm squared

• 12 cm squared

• 24 cm squared

How do you determine the correct height to use when calculating the area of a parallelogram?

• Average of all sides

• Perpendicular height

• Base length

• Slanted height

For a triangle with a base of 6 cm and height of 4 cm, what is the area?

• 8 cm squared

• 10 cm squared

• 24 cm squared

• 12 cm squared

In the context of area calculation, what does 'perpendicular height' refer to?

• The horizontal length

• The vertical height from base to top

• The height measured along the slant

• The longest side of the shape

When calculating the area of a trapezium, what must you do first after adding the lengths of the parallel sides?

• None of the above

• Subtract the smaller from the larger

• Multiply by the height

• Divide by 2

What is the next step after multiplying the sum of the parallel sides by the height in trapezium area calculation?

• Divide by 2

• Add 10

• Multiply by 2

• Subtract 5

How do you find the area of a complex shape?

• Use the perimeter

• Multiply the longest sides

• Divide it into simpler shapes and sum their areas

• Guess the total area

What should you do if a shape does not have a straightforward formula for area?

• Estimate the area visually

• Break it into known shapes and calculate each area

• Ignore the shape

• Only calculate the perimeter

What is the area of a composite shape if the outer rectangle is 35 m squared and the inner rectangle is 8 m squared?

• 37 m squared

• 27 m squared

• 43 m squared

• 28 m squared