Area
Outcomes

MA413MG
Uses formulas to calculate the areas of quadrilaterals and circles, and converts between units of area
 Choose appropriate units of measurement for area and convert from one unit to another (ACMMG195)

Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving (ACMMG159)

Develop and use the formulas to find the areas of rectangles and squares:
Area of a rectangle = lb where l is the length and b is the breadth (or width) of the rectangle
Area of square = s squared where s is the side length of the square
Examples

Find the areas of simple composite figures that may be dissected into rectangles, squares, parallelograms and triangles
Examples

Develop and use the formulas to find the areas of rectangles and squares:
Area of a rectangle = lb where l is the length and b is the breadth (or width) of the rectangle
Area of square = s squared where s is the side length of the square

Find areas of trapeziums, rhombuses and kites (ACMMG196)

Develop, with or without the use of digital technologies, and use the formula to find the areas of kites and rhombuses:
Area of rhombus/kite = 1/2xy where x and y are the lengths of the diagonals
Examples

Develop and use the formula to find the areas of trapeziums:
Area of trapezium = 1/2h (a + b) where h is the perpendicular height and a and b are the lengths of the parallel sides
Examples

Select and use the appropriate formula to find the area of any of the special quadrilaterals
Examples

Solve a variety of practical problems relating to the areas of triangles and quadrilaterals
Examples

Develop, with or without the use of digital technologies, and use the formula to find the areas of kites and rhombuses:
Area of rhombus/kite = 1/2xy where x and y are the lengths of the diagonals
 Investigate the relationship between features of circles, such as the area and the radius; use formulas to solve problems involving area (ACMMG197)