Areas of Polygons Chapter 11 Sections 11.1, 11.2 and 11.3.

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Presentation transcript:

Areas of Polygons Chapter 11 Sections 11.1, 11.2 and 11.3

Agenda Hand back tests and go over Make-up tests (3rd block) Warm up Notes with handout Complete 11-2 worksheet and hand in Finish notes on 11-3

Purpose and Goal In this chapter you will: Why are we doing this? Understand what is meant by the area of a polygon Understand the area postulates Know and use the formulas for the areas of rectangles, parallelograms, triangles, rhombuses, trapezoids, and regular polygons Why are we doing this? Final, PSSA’s, SATS……and best: CORE 2!!!!

Warm up Can you answer these? Tell what each letter represents in the formula A = s2. Tell what each letter represents in the formula A = bh. Find the area and perimeter of a square with sides 5 cm long. The perimeter of a square is 28 cm. What is the area? The area of a square is 64 cm2. What is the perimeter? Describe or draw: perimeter, diagonal

Area of a triangle

Area of a Rectangle Area of a Square

Area of a Parallelogram

Area of a Rhombus

Area of a Trapezoid

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

Example 1 Consecutive sides of the figure are perpendicular. Find the area of the total figure. Additional Question: If this was carpet, how much Would you pay if $4.00 sq. ft?

Example 2 Find the area of a square with diagonals length 8. Work with your group to answer this (hint: draw a picture)

Example 3 Find the area of the triangles.

Example 4 Find the area of the rhombus.

Find the area of each figure A triangle with base 6.3 cm and corresponding height 9.8cm. 2. A parallelogram with base 4 and corresponding height

Find the area of each figure 3. A rhombus with diagonals 6 and 8 4. An isosceles triangle with sides 12, 12, 10

Worksheet!!! Complete the worksheet “Areas of Rectangles, Parallelograms, triangles and Rhombuses” and hand in for classwork credit (16 points)

Example 5 Find the area of the trapezoid.

Final example Find the area of the trapezoid.

HW Assignment: Pg. 426-427 #18-22, 28 Pg. 431 #10-18 Pg. 435-436 #1-3, 8-10 (find area only)

Closure!!!!! This is a trapezoid. But what is the height and what are the bases?

Agenda Check homework while you complete pop quiz Go over homework Complete “Areas of trapezoids” worksheet #1-12, 6

PAGE 426-427 #18-22, 28 18 – 22 are drawn on the board. 28. How much will it cost to blacktop the driveway shown if blacktopping costs $11.00 per square meter?

Page 431 #10-18 An isosceles triangle with base 10 and perimeter 36 An isosceles right triangle with hypotenuse 8 An equilateral triangle with perimeter 18

Page 431 #10-18 (cont) 13. A parallelogram with a 45° angle and sides 6 and 10 A rhombus with a 120° angle and sides 6 cm 15. A 30°-60°-90° triangle with hypotenuse 10

Page 431 #10-18 (cont) 16. An equilateral triangle with height 9 A rhombus with perimeter 68 and one diagonal 30 18 – Challenge!!!A regular hexagon with perimeter 60

Page 435-436 #1-3, 8-10 These problems are on the board