Compound Shapes Area Demonstration This resource provides animated

Compound Shapes – Area – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.

These are compound shapes, they are made up of 2 or more rectangles or squares. How would you divide the shapes into parts? overlapping

6 cm How could you calculate the area of this compound shape? Rectangle 1 : 5 cm × 6 cm = 30 cm 2 Rectangle 2 : Rectangle 2 4 cm × 3 cm = 12 cm 2 Total: 30 cm 2 + 12 cm 2 = 42 cm 2 1 cm 2 3 cm

3 cm How could you calculate the area of this compound shape? Rectangle 1 : 5 cm × 3 cm = 15 cm 2 9 cm Rectangle 2 : 9 cm × 3 cm = 27 cm 2 Total: 15 cm 2 + 27 cm 2 = 42 cm 2 1 cm 2 3 cm

2 cm How could you calculate the area of this compound shape? 1 Rectangle 1 : 8 cm × 2 cm = 16 cm 2 8 cm 2 Rectangle 2 : 6 cm × 4 cm = 24 cm 2 6 cm Total: 16 cm 2 + 24 cm 2 = 40 cm 2 1 cm 2 4 cm

How can we find the missing lengths in these diagrams? 2 6 6? 3 9? 8 8? 12 4 (not drawn accurately) 10 7 4? 7

Calculate the area of this compound shape. 1) Divide the compound shape into rectangles. 2) Calculate & label missing lengths. Area: (Add the shape areas) 2 cm 2× 2=4 2× 4=8 2 cm Total = 4 + 8 = 12 cm 2 4 cm 2 cm 4 cm

Calculate the area of this compound shape. 1) Divide the compound shape into rectangles. 2) Calculate & label missing lengths. Area: (Add the shape areas) 5 cm 4 × 5 = 20 2× 2=4 4 cm Total = 20 + 4 = 24 cm 2 6 cm 3 cm 2 cm

Calculate the area of this compound shape. 1) Divide the compound shape into rectangles. 2) Calculate & label missing lengths. Area: (Add the shape areas) 8 × 4 = 32 4 cm 6 × 5 = 30 Total = 32 + 30 = 62 cm 2 3 cm 8 cm 6 cm 5 cm 10 cm

Calculate the area of this compound shape. 1) Divide the compound shape into rectangles. 2) Calculate & label missing lengths. 3 cm Area: (Add the shape areas) 4 × 4 = 16 3 × 9 = 27 Total = 16 + 27 = 43 cm 2 4 cm 7 cm 9 cm

Calculate the area of this compound shape. 1) Divide the compound shape into rectangles. 2) Calculate & label missing lengths. Area: (Add the shape areas) 4 × 5 = 20 4 cm 3 × 10 = 30 Total = 20 + 30 = 50 cm 2 5 cm 2 cm 4 cm 3 cm 10 cm 8 cm

Calculate the area of each compound shape. Area = 27 cm 2 3 cm A) B) Area = 32 cm 2 3 cm 10 cm 3 cm 6 cm 3 cm 2 cm 8 cm 6 cm 8 cm C) 2 cm 9 m D) 9 m 5 cm Area = 25 3 cm cm 2 Area = 57 m 2 3 m 2 m

All these shapes are made from congruent (identical) rectangles. Find the area of each compound shape. Area = 16 cm 2 2 cm Area = 12 cm 2 4 cm Area = 24 cm 2 Area = 18 cm 2 Area = 12 cm 2

All these shapes are made from overlapping congruent rectangles. Find the area of each compound shape. 2 cm 5 cm Area = 22 cm 2 Area = 16 cm 2 1 3 4 4 2 Area = 32 cm 2 Area = 26 cm 2 4

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk