Lesson: 10 – 3 Areas of Polygons

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Presentation transcript:

Lesson: 10 – 3 Areas of Polygons Applied Geometry Lesson: 10 – 3 Areas of Polygons Objective: Learn to estimate the areas of polygons.

Polygonal Regions Any polygon and its interior

Postulate 10-1 Area Postulate For any polygon and a given unit of measure, there is a unique number A called the measure of the area of the polygon.

Postulate 10 - 2 Congruent polygons have equal measures.

Composite figures Polygons that contain other polygons.

Postulate 10 – 3 Area Addition The area of a given polygon equals the sum of the areas of the nonoverlapping polygons that form the given polygon.

Find the area of the polygon Find the area of the polygon. Each square represents 1 square centimeter. How many whole squares? 5 How many partial squares? 4 A = 5(1) + 4(0.5) A = 7 cm2

Find the area of the polygon. Each square represents 1 square inch. A = 5 in2

Irregular figures Figures that are not polygons and cannot be made from combinations of polygons.

2 15 A = 2(1) + 15(0.5) A = 9.5(3350) A = 2+ 7.5 Approximately 9.5 If Lake Superior were drained, the resulting land area would be twice that of the Netherlands. Estimate the area of Lake Superior if each square represents 3350 square miles. How many whole squares? 2 How many partial squares? 15 A = 2(1) + 15(0.5) A = 9.5(3350) A = 2+ 7.5 A = 31,825 square miles Approximately 9.5

Estimate the area of the polygon. Each square unit represents 1 acre. A = 28.5 square acres

Homework Pg. 416 1 – 8 all, 10 – 30 E