Find perimeters and areas of parallelograms, trapeziums, rhombuses and kites (VCMMG287)

LO: To utilise the formula for the perimeters and areas of parallelograms, trapeziums, rhombuses and kites to solve related problems.

Know:

  • the properties and dimensions of 2-D shapes (parallelogram, trapeziums, rhombuses and kites).

  • the correct terminology of labels for the shapes eg.) base, height, width, length.

  • the units of measurement for calculating or describing shapes.

  • the definition between perimeter and area.

Understand:

  • That formulas can be used to quickly find the perimeter and area of parallelograms, trapeziums, rhombuses and kites.

Do:

  • I can utilise formulas in order to find the perimeters and areas of parallelograms, trapeziums, rhombuses and kites in related contexts.

Elaborations

  • establishing and using formulas for areas such as trapeziums, rhombuses and kites

  • identify and sort quadrilaterals (rectangles, squares, trapeziums, parallelograms and rhombuses) according to their attributes.

Parallelograms, Trapeziums, Rhombuses and Kites

Perimeter of Parallelograms

Finding the perimeter of Parallelograms is easy, all you have to do is measure the 4 sides of the parallelogram. (A + A + B + B) or (2A + 2B)

The top and bottom sides of the parallelogram should be equal, and the two sides of the parallelogram should also be equal.

Area of Parallelograms

Finding the area of parallelograms is easy, all you have to do is multiply the base by the height.

Perimeter of Trapeziums

Finding the perimeter of Trapeziums is pretty easy, all you have to do is measure the 4 sides of the Trapezium. (A + B + C + D)

Area of Trapeziums

Finding the area of trapeziums is a bit more difficult, but all you have to do is add the top and bottom numbers together then divide by 2, and multiply by the height.

Perimeter of Rhombuses

Finding the perimeter of Rhombuses is pretty easy, all you have to do is measure the 4 sides of the Rhombus. Since all four sides of a Rhombus are the same, you can just use the formula (4A)

Area of Rhombuses

Finding the area of rhombuses is a bit more difficult, but all you have to do find the values of the diagonals, multiply them together then half the answer. A rhombus is essentially half of a rectangle!

Perimeter of Kites

Finding the perimeter of Kites is pretty easy, all you have to do is measure the 4 sides of the Kite.

Area of Kites

Finding the area of kites is the same as the area as finding the area of a rhombus. Find the values of the diagonals, multiply them together then half the answer. A kite is essentially half of a rectangle!


Parallelograms, Trapeziums, Rhombuses and Kites Videos

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