Finding the Area of Irregular Figures

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Presentation transcript:

Finding the Area of Irregular Figures TeacherTwins©2015

Warm Up Find the area. 17in 2. 1. 15in 15in 20in 17in 277.5in2 255in2

Ex. 1: Find the area of the irregular figure by dividing it up into rectangles and triangles. Area of triangle = (12cm)(5cm) ÷ 2 =30 cm2 5cm Area of rectangle = (12cm)(15cm) = 180cm2 12cm 20cm 15cm Area = 30cm2 + 180cm2 Area = 210cm2 12cm 12cm

Ex. 2: Find the area of the irregular figure. 20cm 3cm 17cm 5cm 15cm 1 2 3 25cm

Area of triangle 1 A = (15cm)(3cm) ÷ 2 =22.5cm2 Area of rectangle 2 A = (17cm)(15cm) = 255cm2 Area of triangle 3 A = (15cm)(5cm) ÷ 2 = 37.5 cm2 Area = 22.5cm2 + 255cm2 + 37.5cm2 = 315cm2

Practice Find the area. 57.5cm2 170cm2 7cm 2cm 20cm 5cm 14cm 2cm 12cm

Closure Explain how to find the area of an irregular figure.