Areas of Composite Shapes

Slides:



Advertisements
Similar presentations
Objective : Calculate the area of regular quadrilaterals.
Advertisements

Triangles, Quadrilaterals, Nets, Prisms & Composite Polygons
Area and Perimeter of Composite figures. After completing activities Review the formulas for Perimeter and Area of basic shapes on the next slides View.
© T Madas.
Area - Revision The area of a shape is simply defined by : “the amount of space a shape takes up.” Think of a square measuring 1 cm by 1cm we say it is.
Area of shapes © T Madas.
Area of a rectangle Area of composite shapes Area of a right-angled triangle Simple Areas.
Quadrilaterals Shapes with 4 sides! We are all quadrilaterals. We all have 4 sides. Remember just like a quad bike.
Objective: Find the area of different quadrilaterals Level 6.
2D Shapes How many different triangles can you make on the grid? Don’t include reflections / rotations of triangles already made How many different squares.
GCSE Mathematics Targeting Grade C SSM 3.
© T Madas. Every length has doubled The Scale Factor is 2 Object Image Scale factor is the number of times the lengths of the original shape have been.
Our learning objectives today: To be able to recognise and name 2D shapes. To know about quadrilaterals.
Unit9 Shapes What shape is the sun?
Points Task Task 1Task 2Task 3Task 4 Task 5Task 6Task 7Task 8 Task 9Task 10 NC Level 4 to 7.
1. 2 Get a rectangular piece of paper and cut it diagonally as shown below. You will obtain two triangles with each triangle having half the area of the.
© T Madas. Find the mean percentage mark of 37%, 42%, 68%, 55% and 39%. Find of Find 7% of 675. Find the area of a triangle with base of 1.25.
Finding the area of parallelograms and trapeziums
6.3 Area of a Trapezoid Mme DiMarco.  Learning Goal: use a formula to find the area of a trapezoid Learning Goal.
Composite Figures Finding the area Finding the perimeter.
Area of Composite Figures
© T Madas. Mark in the following diagram: A set of parallel lines A right angle An acute angle An obtuse angle A reflex angle.
Measurement and Geometry 32 Quadrilaterals 4 cm All sides and the angle in each vertex equal square regular 4 lines of symmetry.
Sect. 6.7 Areas of Triangles and Quadrilaterals Goal 1 Using Area Formulas Goal 2 Areas of Trapezoids, Kites and Rhombuses.
Form 1 Mathematics Area of plane shapes Chapter 16.
Triangles, Quadrilaterals, Nets, Prisms & Composite Polygons
LENGTH and PERIMETER.
3 rd Year Quick Questions 8/6/04.
Simple Areas Area of a rectangle Area of a right-angled triangle
Area.
Area of a Rectangle = base x height
Area (compound figure)
Whiteboardmaths.com © 2004 All rights reserved
Quadrilateral properties
Square Roots Practice © T Madas.
UNIT 8: 2-D MEASUREMENTS PERIMETER AREA SQUARE RECTANGLE PARALLELOGRAM
Area of triangles.
Starter Questions Calculate the area of the following shapes :- 8cm a.
Area of triangles.
Area of a Composite Calculate the area of this shape Total Area =
Area Review.
and their missing lengths
Shapes.
Calculate Area of Composite Shapes
Practice on finding Awkward Areas © T Madas.
©G Dear2008 – Not to be sold/Free to use
© T Madas.
© T Madas.
Area of triangle.
Area and Perimeter Ten quick questions.
© T Madas.
© T Madas.
Area Learning Intentions
SPLITTING OF COMBINED SHAPES
© T Madas.
Compound Area Compound area is where a shape can be made up of other shapes. The area of a compound shape can be found by calculating the area of the shapes.
© T Madas.
© T Madas.
© T Madas.
probability with cards
Angle Revision © T Madas.
© T Madas.
Area Of Composite Shapes
Area of combined figures
Quadrilaterals 4 sided shapes.
© T Madas.
© T Madas.
Solving for the Area of Composite Figures (Rectangles and Triangles)
Finding the Area of a Rectangle
Area Review.
Presentation transcript:

Areas of Composite Shapes © T Madas

Composites of squares and rectangles © T Madas

Find this area A2 A1 A1= 5 x 2 = 10 cm2 2 cm A2= 2 x 3 = 6 cm2 Total Area = 16 cm2 3 cm A2 5 cm 3 cm A1 2 cm 5 cm © T Madas

56 m2 – Find the area of these composite shapes 54 m2 + 8 x 8 = 64 8 7 3 6 54 m2 3 x 7 = 21 + 3 x 11 = 33 3 11 Lengths in metres (m) 4 4 8 x 8 = 64 8 64 8 56 m2 – 8 © T Madas

Composites of Quadrilaterals & Triangles © T Madas

A1= 8 x 4 = 32 cm2 A2= 8 x 5 ÷ 2 = 20 cm2 A2 Total Area = 52 cm2 A1 Calculate the area of the following composite shape A1= 8 x 4 = 32 cm2 A2= 8 x 5 ÷ 2 = 20 cm2 A2 5 cm Total Area = 52 cm2 A1 4 cm 8 cm © T Madas

A1= 8 x 6 = 48 m2 A1 A2= 8 x 4 = 32 m2 Total Area = 80 m2 A2 Calculate the area of the following composite shape A1= 8 x 6 = 48 m2 A1 6 m A2= 8 x 4 = 32 m2 Total Area = 80 m2 A2 4 m 8 m © T Madas

A1= 10 x 5 = 50 m2 A2= 3 x 4 ÷ 2 = 6 m2 Total Area = 56 m2 A1 A2 Calculate the area of the following composite shape 5 m A1= 10 x 5 = 50 m2 A2= 3 x 4 ÷ 2 = 6 m2 7 m Total Area = 56 m2 10 m A1 3 m A2 9 m 4 m © T Madas

[ ] x 3 A1= 5 x 7 = 35 m2 A1 A2= 9 + 5 ÷ 2 = 21 m2 Total Area = 56 m2 Calculate the area of the following composite shape 5 m A1= 5 x 7 = 35 m2 [ ] x 3 A1 A2= 9 + 5 ÷ 2 = 21 m2 7 m 10 m 5 m Total Area = 56 m2 A2 3 m 9 m © T Madas

[ ] x 4 A1 A2 A1= 7 x 6 ÷ 2 = 21 m2 A2= 9 + 7 ÷ 2 = 32 m2 Total Area = Calculate the area of the following composite shape 6 m A1 2 m A2 4 m 7 m A1= 7 x 6 ÷ 2 = 21 m2 [ ] x 4 A2= 9 + 7 ÷ 2 = 32 m2 Total Area = 53 m2 © T Madas

A1= 15 x 8 = 120 cm2 A2= 15 x 12 ÷ 2 = 90 cm2 A2 Total Area = 210 cm2 Calculate the area of the following composite shape A1= 15 x 8 = 120 cm2 A2= 15 x 12 ÷ 2 = 90 cm2 12 cm A2 Total Area = 210 cm2 A1 8 cm 15 cm © T Madas

The Area of a Kite © T Madas

Calculate the area of the following Kite 6 cm 9 cm © T Madas

Calculate the area of the following Kite 6 cm A = 9 x 3 ÷ 2 = 13.5 cm2 3 cm 9 cm Total Area = 27 cm2 is there another way to calculate the area of a kite? © T Madas

Calculate the area of the following Kite 6 cm A = 6 x 9 ÷ 2 = 27 cm2 9 cm is there another way to calculate the area of a kite? © T Madas

© T Madas