R P D In the figure, ABCD is a parallelogram. P, Q and R are points on AD, BC and CD respectively such that AP: PD=2:3, BQ: QC = 3:1 and CR: RD=2: 1. BD and PQ intersect at S. If the area of ACQR is 36 cm², then the area of APSD is

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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ChapterP: Preliminary Concepts
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13.
B
S
R
P
D
In the figure, ABCD is a parallelogram. P, Q and R are points on AD, BC and CD respectively such that
AP: PD=2:3, BQ: QC 3:1 and CR : RD=2:1. BD and PQ intersect at S. If the area of ACQR is
36 cm², then the area of APSD is
A. 90 cm².
B. 64 cm².
C. 57.6 cm².
D. 32 cm².
Transcribed Image Text:13. B S R P D In the figure, ABCD is a parallelogram. P, Q and R are points on AD, BC and CD respectively such that AP: PD=2:3, BQ: QC 3:1 and CR : RD=2:1. BD and PQ intersect at S. If the area of ACQR is 36 cm², then the area of APSD is A. 90 cm². B. 64 cm². C. 57.6 cm². D. 32 cm².
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