Calculating Areas of Shapes

The video tutorial covers the concept of compound shapes, which are shapes made up of other shapes. It explains how to calculate the area and perimeter of these shapes by breaking them down into simpler components like rectangles and triangles. The tutorial provides step-by-step examples, including how to handle shapes with cutouts, and emphasizes that different methods can yield the same results. The video also includes practice questions for viewers to try on their own.

What is a compound shape?

• A shape that is always a rectangle

• A shape with no angles

• A shape made by combining different shapes

• A shape made of a single type of polygon

How do you find the area of a compound shape made of two rectangles?

• Multiply the lengths of all sides

• Subtract the area of one rectangle from the other

• Add the perimeters of the rectangles

• Split it into two rectangles and find the area of each

If a rectangle has a length of 9 cm and a width of 4 cm, what is its area?

• 13 cm²

• 36 cm²

• 45 cm²

• 28 cm²

What is the total area of a compound shape with areas of 36 cm² and 40 cm²?

• 66 cm²

• 56 cm²

• 96 cm²

• 76 cm²

How do you calculate the perimeter of a compound shape?

• Multiply the lengths of all sides

• Add up all the interior angles

• Add up all the side lengths

• Subtract the longest side from the total length

If the total top length of a shape is 14 cm, what should the bottom lengths add up to?

• 12 cm

• 28 cm

• 14 cm

• 7 cm

What is the area of a rectangle with a length of 5 cm and a width of 4 cm?

• 20 cm²

• 9 cm²

• 25 cm²

• 15 cm²

How do you find the area of a triangle?

• Base minus height

• Base plus height

• Half of base times height

• Base times height

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

• 10 cm²

• 8 cm²

• 6 cm²

• 12 cm²

How can a compound shape be considered a trapezium?

• If it is a perfect square

• If it has one set of parallel sides

• If it is made of only triangles

• If it has no parallel sides