Area of Rectangles Unit 11 Section 1 Understand what is meant by the area of a polygon Know and use the formulas for the area of rectangles and regions.

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Presentation transcript:

Area of Rectangles Unit 11 Section 1 Understand what is meant by the area of a polygon Know and use the formulas for the area of rectangles and regions

Warmup Classify each statement as true or false. 1.If two figures have the same area, then they must be congruent. 2.If two figures have the same perimeter, then they must have the same area. 3.If two figures are congruent, then they must have the same area. 4.Every square is a rectangle. 5.Every rectangle is a square. 6.The base of a rectangle can be any side of the rectangle.

Review Perimeter is defined as the distance around the outside edge of a polygon. Perimeter of all polygons Perimeter = sum of the lengths of each side Area is defined as the amount of square units it takes to fill in a polygon Area of rectangles Area = base x height Area of squares Area = (side) ² Area Congruence Postulate If two figures are congruent, then they have the same area. Area Addition Postulate The area of a region is the sum of the areas of its non-overlapping parts

Example 1 Exercises a-d refer to rectangles. Complete the table. a b c d b12 m9 cmy - 2 h3 my A54 cm ² P Practice: Complete Notes Questions 1 – 3

Example 2 Consecutive sides of the figures are perpendicular. Find the area and perimeter of each figure

Example 3 Consecutive sides of the figures are perpendicular. Find the area and perimeter of each figure ° Practice: Complete Notes Questions 4-6

Closure Classify each statement as true or false. 1.If two figures have the same area, then they must be congruent. 2.If two figures have the same perimeter, then they must have the same area. 3.If two figures are congruent, then they must have the same area. 4.Every square is a rectangle. 5.Every rectangle is a square. 6.The base of a rectangle can be any side of the rectangle.

Homework: Practice Worksheet 11.1