Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Geometry 8 8.1 Basic Geometric Figures 8.2 Perimeter 8.3 Area 8.4 Circles 8.5 Volume and Surface Area 8.6 Relationships Between Angle Measures 8.7 Congruent Triangles and Properties of Parallelograms 8.8 Similar Triangles Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 2

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area a Find the area of a rectangle and a square. b Find the area of a parallelogram, a triangle, and a trapezoid. c Solve applied problems involving areas of rectangles, squares, parallelograms, triangles, and trapezoids. d Use < or > for  to write a true statement in a situation like 6  10. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 3

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area AREA OF A RECTANGLE The area of a rectangle is the product of the length l and the width w: a Find the area of a rectangle and a square. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 4

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area a Find the area of a rectangle and a square. 2 Find the area of a rectangle that is 7 yd by 4 yd. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 5

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area AREA OF A SQUARE The area of a square is the square of the length of a side: a Find the area of a rectangle and a square. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 6

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area a Find the area of a rectangle and a square. 3 Find the area of a square with sides of length 9 mm. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 7

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area b Find the area of a parallelogram, a triangle, and a trapezoid. A parallelogram is a four-sided figure with two pairs of parallel sides. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 8

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area AREA OF A PARALLELOGRAM The area of a parallelogram is the product of the length of the base b and the height h: b Find the area of a parallelogram, a triangle, and a trapezoid. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 9

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area b Find the area of a parallelogram, a triangle, and a trapezoid. 5 Find the area of this parallelogram. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 10

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area AREA OF A TRIANGLE The area of a triangle is half the length of the base times the height: b Find the area of a parallelogram, a triangle, and a trapezoid. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 11

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area b Find the area of a parallelogram, a triangle, and a trapezoid. 8 Find the area of this triangle. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 12

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area b Find the area of a parallelogram, a triangle, and a trapezoid. A trapezoid is a polygon with four sides, two of which, the bases, are parallel to each other. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 13

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area AREA OF A TRAPEZOID The area of a trapezoid is half the product of the height and the sum of the lengths of the parallel sides (bases): b Find the area of a parallelogram, a triangle, and a trapezoid. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 14

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area b Find the area of a parallelogram, a triangle, and a trapezoid. 9 Find the area of this trapezoid. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 15

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area c Solve applied problems involving areas of rectangles, squares, parallelograms, triangles, and trapezoids. 11 Lucas Oil Stadium The retractable roof of Lucas Oil Stadium, the home of the Indianapolis Colts football team, divides lengthwise. Each half measures 600 ft by 160 ft. The roof opens and closes in approximately 9–11 min. The opening measures 293 ft across. What is the total area of the rectangular roof? What is the area of the opening? Source: HKS Sports and Entertainment Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 16

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area c Solve applied problems involving areas of rectangles, squares, parallelograms, triangles, and trapezoids. 11 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 17

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area c Solve applied problems involving areas of rectangles, squares, parallelograms, triangles, and trapezoids. 11 Each half of the retractable roof is a rectangle that measures 600 ft by 160 ft. The area of a rectangle is length times width, so we have Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 18

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area c Solve applied problems involving areas of rectangles, squares, parallelograms, triangles, and trapezoids. 11 The total area of the two halves of the retractable roof is Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 19

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.3 Area c Solve applied problems involving areas of rectangles, squares, parallelograms, triangles, and trapezoids. 11 When the retractable roof is open, the dimensions of the opening are 600 ft by 293 ft. The area of this rectangle is When the roof is open, the opening is 175,800 ft2. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 20