CK-12 Geometry - Second Edition

(Marvins-Underground-K-12) #1

10.2. Trapezoids, Rhombi, and Kites http://www.ck12.org



  1. Sasha drew this plan for a wood inlay he is making. 10 is the length of the slanted side and 16 is the length of
    the horizontal line segment as shown in the diagram. Each shaded section is a rhombus. What is the total area
    of the shaded sections?

  2. In the figure to the right,ABCDis a square.AP=PB=BQandDC= 20 f t.
    a. What is the area ofPBQD?
    b. What is the area ofABCD?
    c. What fractional part of the area ofABCDisPBQD?

  3. In the figure to the right,ABCDis a square.AP= 20 f tandPB=BQ= 10 f t.
    a. What is the area ofPBQD?
    b. What is the area ofABCD?
    c. What fractional part of the area ofABCDisPBQD?


Review Queue Answers


1.A= 9 ( 8 )+

[ 1


2 (^9 )(^8 )


]


= 72 + 36 = 108 units^2
2.A=^12 ( 6 )( 12 ) 2 = 72 units^2
3.A= 4

[ 1


2 (^6 )(^3 )


]


= 36 units^2
4.A= 9 ( 16 )−

[ 1


2 (^9 )(^8 )


]


= 144 − 36 = 108 units^2
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