areas of polygons chapter 11 sections 11.1, 11.2 and 11.3
TRANSCRIPT
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Areas of Polygons
Chapter 11Sections 11.1, 11.2 and 11.3
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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
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Purpose and Goal
• In this chapter you will:– 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!!!!
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Warm up
• Can you answer these?1. Tell what each letter represents in the formula A
= s2.2. Tell what each letter represents in the formula A
= bh.3. Find the area and perimeter of a square with
sides 5 cm long.4. The perimeter of a square is 28 cm. What is the
area?5. The area of a square is 64 cm2. What is the
perimeter?6. Describe or draw: perimeter, diagonal
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Area of a triangle
1
2Area bh
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Area of a RectangleArea of a Square
Area bh
2Area s
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Area of a Parallelogram
Area bh
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Area of a Rhombus
1 2
1
2Area d d
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Area of a Trapezoid
1 2
1( )
2Area h b b
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Area Addition Postulate
• The area of a region is the sum of the areas of its non-overlapping parts.
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Example 1
Consecutive sides of the figure are perpendicular. Find the area of the total figure.
Additional Question: If this was carpet, how muchWould you pay if $4.00 sq. ft?
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Example 2
Find the area of a square with diagonals length 8. Work with your group to answer this (hint: draw a picture)
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Example 3
Find the area of the triangles.
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Example 4
• Find the area of the rhombus.
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Find the area of each figure
1. A triangle with base 6.3 cm and corresponding height 9.8cm.
2. A parallelogram with base 4 and corresponding height
353
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Find the area of each figure
3. A rhombus with diagonals 6 and 8
4. An isosceles triangle with sides 12, 12, 10
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Worksheet!!!
• Complete the worksheet “Areas of Rectangles, Parallelograms, triangles and Rhombuses” and hand in for classwork credit (16 points)
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Example 5
• Find the area of the trapezoid.
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Final example
• Find the area of the trapezoid.
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HW Assignment:
• Pg. 426-427 #18-22, 28 • Pg. 431 #10-18• Pg. 435-436 #1-3, 8-10 (find area
only)
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Closure!!!!!
• This is a trapezoid.
• But what is the height and what are the bases?
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Agenda
• Check homework while you complete pop quiz
• Go over homework• Complete “Areas of trapezoids”
worksheet #1-12, 6
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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?
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Page 431 #10-18
10.An isosceles triangle with base 10 and perimeter 36
11.An isosceles right triangle with hypotenuse 8
12.An equilateral triangle with perimeter 18
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Page 431 #10-18 (cont)
13. A parallelogram with a 45° angle and sides 6 and 10
14.A rhombus with a 120° angle and sides 6 cm
15. A 30°-60°-90° triangle with hypotenuse 10
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Page 431 #10-18 (cont)
16. An equilateral triangle with height 9
17.A rhombus with perimeter 68 and one diagonal 30
18 – Challenge!!!A regular hexagon with perimeter 60
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Page 435-436 #1-3, 8-10
• These problems are on the board