9001 area and perimter
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9001 area and perimter

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    9001 area and perimter 9001 area and perimter Presentation Transcript

    • Geometry Drill 4/22/14  In your own words define perimeter and area  Make a list of any formula you know that applies to perimeter or area of a geometric figure.
    • Objective SW recall area and perimeter formulas so that they can find the area and perimeter of irregular regions.
    • Compare: Regular polygons vs. polygons
    • Perimeter of a Rectangle P=2b+2h h b
    • Area of a Rectangle A=bh h b
    • Area of a Triangle A=(1/2)bh h b
    • Irregular Region A region(shape) composed of many smaller regions(shapes)
    • Area of an Irregular Region The sum of the areas of all the non- overlapping parts of the region
    • Find the area of the irregular region 43 2
    • Perimeter of an Irregular Region The distance around the region.
    • Find the Perimeter of the region 43 2
    • Conclusions  1) To find the area of an irregular region, find the areas of its smaller _____ and find their _____.
    • Conclusions  1) To find the area of an irregular region, find the areas of its smaller _____ and find their _____. parts sum
    • Conclusions  2) To find the perimeter of an irregular region, find the ________ around the region.
    • Conclusions  2) To find the perimeter of an irregular region, find the ________ around the region. distance
    • Find the perimeter of rectangle ABCD A B C D 5 in. 3 in. 4 in.
    • EXPLORATION We know how to find the area of a rectangle. How can I form a rectangle from this parallelogram?
    • Parallelogram
    • Parallelogram
    • Parallelogram
    • Parallelogram
    • Parallelogram
    • Parallelogram
    • Rectangle
    • b2 b2 b1 b1 h h
    • b2 b2 b1 b1 h h
    • b2 b1 h b2 b1 h
    • b2 b1 h b2 b1 h
    • b2 b1 h Parallelogram b1 b2
    • AREA OF A PARALLELOGRAM A = bh
    • AREA OF A TRIANGLE A = 1/2(bh)
    • AREA OF A TRAPEZOID A = h/2(b1+b2) b1 and b2 are the bases
    • ALTERNATE FORMULA AREA OF A TRAPEZOID A = length of median times the height
    • Find the Area of Trapezoid ABCD 12 10
    • ABCD is a rhombus with diagonals d1 & d2 D C A B
    • AREA OF A RHOMBUS A = 1/2(d1d2) d1 and d2 are the diagonals
    • Find the area: 10 5 6
    • Find the area: 5 42
    • Find the area: 5 12 8
    • Find the area: 12 9 15
    • Find the area: 8 57
    • Area of a Rhombus Find the area of a rhombus if the lengths of the diagonals are 12m and 10 m.