MATHEMATICS Area of Rectilinear Shapes

Lesson Objectives The aim of this powerpoint is to help you… practice using the formulas for the areas of rectangles and triangles calculate the area of rectilinear shapes

Area Formulae In order to calculate the area of compound or rectilinear shapes, you will need to recall the formulae for the area of a rectangle and the area of a triangle. These formulae are: Area of Rectangle = Length × Width Area of Triangle = ½ of Base × Perp. Height

What is a Rectilinear Shape? A rectilinear shape is one made up of rectangles, triangles or parts thereof. Here are some examples…

Area of Rectilinear Shapes To begin to find the area of a rectilinear shape, first cut the shape into its component rectangles and/or triangles Find the area of each component and add these areas altogether for the area of the whole shape. Sometimes it is quicker to take the area of a missing component away from a larger one!

Example Find the area of this rectilinear shape: 7m 4m 2m 6m 2m

Example: 2 Methods Area A = 7m × 2m = 14m² Area B = 2m × 3m = 6m² Area C = 7m × 6m = 42m² Total Area = 62m² Area D = 7m × 10m = 70m² Area E = 2m × 4m = 8m² Total Area = 62m² C E D 7m 4m 2m6m 2m 7m 4m 2m6m 2m B A

What next? Print out the notes called PAV2c-Area. Read through them and make sure you answer any questions. Save and complete the worksheet called AreaC-S1.xlsx Now move on to the PAV3 powerpoint