1. LESSON Today: New Chapter The wise look ahead to see what is coming, but fools deceive themselves. Solomon

2. LESSON 11.1 & 2 Areas and Perimeter Objective: 1.Find perimeters and areas of parallelograms 2.Find perimeters and areas of triangles. 3.Find perimeters and areas of trapezoids. 4.Find perimeters and areas of rhombi and kites. 5.Find perimeters and areas of a combinations of figures. Vocabulary: perimeter, area, volume

3. LESSON Perimeter – the measure of distance around a polygon – found by adding up all the sides. Measures are in units. Area – the measure of the amount of surface enclosed by a 2-dimensional figure. Measures are in square units. Volume – the measure of the amount of space enclosed by a three-dimensional figure. Measures are in cubic units.

4. LESSON 12345678910 Length is measure in linear units. 6.7 = 1 in in 123456789

5. LESSON Area is measured in square units. = 1 in = 1 square in 151413121110987654321 15 sq. in ? sq. in

6. LESSON Volume is measured in cubic units. = 1 square in 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748??$$88 && ??$$88 && ??$$88 && square in

7. LESSON = 1 square in Volume is measured in cubic units. = 1 cubic in 123456789101112131415161718192021222324252627282930313233343536 cubic in

8. LESSON Area is measured in square units. = 1 pelz= 1 square in 151413121110987654321 15 sq. in The area of a rectangle is equal to the product of the base and the height for that rectangle. b = length of the base h = length the height A = bh

9. LESSON Area is measured in square units. = 1 pelz= 1 square in 987654321 15 sq. in The area of a square is equal to the square of a side. (99) s = length of the side A = s 2

10. LESSON rectangles: A = bh h b parallelograms: A = bh h b h

11. LESSON rectangles: A = bh h b parallelograms: A = bh

12. LESSON rectangles: A = bh h b parallelograms: A = bh h b triangles: A = ½bh b h

13. LESSON h b h b rectangles: A = bh parallelograms: A = bh triangles: A = ½bh

14. LESSON h b h b b h rectangles: A = bh parallelograms: A = bh triangles: A = ½bh

15. LESSON Heron’s Formula for the area of any triangle: where a, b, and c are the lengths of the sides of the triangle and s is the semi-perimeter. Find the area of a triangle with sides 4, 5 and 7cm. b c a

16. LESSON trapezoids: A = ½(b 1 + b 2 )h h b1b1 b2b2

17. LESSON kite is a quadrilateral with 2 pairs of consecutive sides congruent, but opposite sides are not congruent. (not a ||-gram) Kite Facts: 1.Exactly 1 pair of opposite angles congruent. 2.diagonals are  3.Diagonal bisects non-congruent  angles. 4.Diagonal bisects other diagonal.

18. LESSON The area of a kite is equal to half the product of its diagonals. (105) d 1 = length of diagonal 1 d 2 = length of diagonal 2 h = height A = ½d 1 d 2 kites: A = ½ d 1 d 2 d1d1 d2d2 Find the area of a kite with diagonals of 9” and14”. 63 in 2

19. LESSON trapezoids: A = ½(b 1 + b 2 )h h b1b1 b2b2 kites: A = ½ d 1 d 2 d1d1 d2d2 d1d1 d2d2 rhombi: A = ½ d 1 d 2 d1d1 d2d2 A = bh b h

20. LESSON Basic Properties of Area (postulates): Every closed region has an area. If two closed figures are congruent, then their areas are equal. If two closed regions intersect only along a common boundary, then the area of their union is equal to the sum of their individual areas. A house = A + A

21. LESSON Find the areas and perimeters. 35’ A = 588 ft 2 15” 8” 7” 9” 10” 9” A = 362 in 2 28’

22. LESSON Find the shaded area. A = 144 m 2 28m 8m 2m

23. LESSON Find the areas: 6 4 3 18 u 2 8 3 135° 6√2 u 2 15 12 8 48 u 2 What’s x? x 6.4 u

24. LESSON Find the area: 8 12 24√3 + 246 u 2 45° 60° 16 15 30° 16 12 45°

25. LESSON Find the area of the kites: 16 30° 20 4 m 16 m 160 u 2 160 m 2

26. LESSON Find the area of a rhombus if the perimeter is 40 and the shorter diagonal is 10. If a trapezoid with bases of 14’ and 30’, find the median. 22 ft If a trapezoid has a base of 18 cm and a median of 30 cm, find the length of the other base. 42 cm

27. LESSON 8 x 16 (u) 120 u 2 9 A = 108 Find the x. 21 9 10 Find the area.

28. LESSON Assignment Due tomorrow: 11.1 P. 784 #17-33 odd 11.2 P. 794 #19-27 odd The wise look ahead to see what is coming, but fools deceive themselves. Solomon