CHAPTER 11 AREAS OF PLANE FIGURES

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Presentation transcript:

CHAPTER 11 AREAS OF PLANE FIGURES 11-1 AREAS OF RECTANGLES

POSTULATE 17 A = s² POSTULATE 17 The area of a square is the square of the length of a side. A = s²

POSTULATE 17 Find the area of the square. 64 in. ² 8 in.

POSTULATE 18 POSTULATE 18 Area Congruence Postulate If two figures are congruent, then they have the same area.

POSTULATE 19 POSTULATE 19 Area Addition Postulate The area of a region is the sum of the areas of its non-overlapping parts.

POSTULATE 19 103 units ² Find the area of the plane figure. 3 + 24 + 22 + 54 = 103 units ² 3 1 3 5 24 3 3 22 2 7 54 3

THEOREM 11-1 A = bh THEOREM 11-1 The area of a rectangle equals the product of its base and height. A = bh

THEOREM 11-1 Find the area of the rectangle. 60 m² 13 m 12 m

Classify each statement as true or false: If two figures have the same area, then they must be congruent. If two figures have the same perimeter, then they must have the same area. If two figures are congruent, then they must have the same area. Every square is a rectangle. Every rectangle is a square. The base of a rectangle can be any side of the rectangle. False True

Examples 1 – 4 refer to rectangles. Complete the table. b h A 12 3 ? 9 ? 54 4√3 5√3 ? y – 2 y ? 36 6 60 y² - 2y

CLASSWORK/HOMEWORK 11-1 ASSIGNMENT Classwork Pg. 425, Classroom Exercises 1-13 Homework Pg. 426, Written Exercises 1-24 All