Finding the area of Composite shapes

Area and Perimeter of Composite figures : 

Area and Perimeter of Composite figures

After completing activities : 

After completing activities Review the formulas for Perimeter and Area of basic shapes on the next slides View the animated worked example on the following slides

Formulas for basic Quadrilaterals : 

Formulas for basic Quadrilaterals

Formulas for basic Quadrilaterals : 

Formulas for basic Quadrilaterals

Formulas for basic Quadrilaterals : 

Formulas for basic Quadrilaterals

Find the area of the figure below : 

Example 1 Find the area of the figure below 15 cm 50 cm

Slide 7: 

15 cm = + + 50 cm Triangle Rectangle Square 20cm 15 cm 15 cm 30 cm 30 cm Area = Height × base 2 Area = 30 × 20 Area = Rectangle: Area = Length × width Area = 30 × 15 Area = Square : Area = (side)2 Area = (15)2 Area = 300 cm2 450 cm2 225 cm2 2 Triangle : Total area = 300 + 450 + 225 = 975 cm2

What is the area of the window shown? Use ( π =3.14 ) : 

What is the area of the window shown? Use ( π =3.14 ) Example 2 48 in 36 in

Slide 9: 

48 in 36 in + 36 in 36 in 48 in =

Slide 10: 

48 in 36 in = + 36 in 36 in 48 in Rectangle : Area = 36 × 48 Area = 1728 in2 Half of circle : Area = Area = 508.68 in2 Area = 508.68 in2 1728 in2 Total area = 1728 + 508.68 = 2236.68 in2

Slide 11: 

8cm 6cm 8cm 12cm Example 3

Slide 12: 

8cm 6cm 8cm 12cm + 4cm 4cm -

Slide 13: 

8cm 6cm 8cm 12cm + 4cm 4cm - Total Area = 96 + 40 – 8 = 128 cm2 4cm A = 8 cm2 A = 96 cm2

Thank you : 

Thank you Mr. Ali Abdalla Abdelmohsen Mahmoud alielbasry2@yahoo.com EGYPT – Asyut UAE – Abu Dhabi 2010-2011