Answered: Parallelogram ABCD and RSTV are similar…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

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Parallelogram ABCD and RSTV are similar with areas of 294 and 96 respectively. The measure of one of the diagonals of ABCD is 28. Find the ratio of the area, ratio of the perimeter, scale factor, and corresponding diagonal of RSTV.

Possible answers:

7.4
3:4
49:16
7:16
49:4
64
196
9:14
16
49

Expert Solution

Step 1

$G i v e n A r e a o f p a r a l l e \log r a m A B C D = 294 A r e a o f p a r a l l e \log r a m R S T V = 96 M e a s u r e o f o n e o f t h e d i a g o n a l s o f t r i a n g l e A B C D = 28$

$W e a r e r e q u i r e d t o f i n d R a t i o o f t h e a r e a o f t w o p a r a l l e \log r a m R a t i o o f t h e p e r i m e t e r o f t w o p a r a l l e \log r a m S c a l e f a c t o r o f t w o p a r a l l e \log r a m C o r r e s p o n d i n g d i a g o n a l o f R S T V$