oopsydaisy
contestada

PRS is similar to RQS. If the ratio of the perimeter of RQS to the perimeter of PRS is 3:2, and PR is 4 less than QR, find PR

A.4
B.8
C.12
D.16

PRS is similar to RQS If the ratio of the perimeter of RQS to the perimeter of PRS is 32 and PR is 4 less than QR find PR A4 B8 C12 D16 class=

Respuesta :

taskmasters
There are numerous information's already given in the question. Based on these information's the answer to the question can be easily deduced.
The first equation that we can deduce from the question is
QR/PR = 3/2
2QR = 3PR
PR = 2QR/3
The second equation is
PR = QR - 4
Putting the value of PR from first equation in the second, we get
PR = QR - 4
2QR/3 = QR - 4
2QR = 3QR - 12
2QR - 3QR = - 12
-QR = -12
QR = 12
Then
PR = QR - 4
      = 12 - 4
      = 8
The correct option is option "B".
Cutiepatutie

QR/PR=3/2

2QR=3PR

PR=2QR/3

---------------------------

PR=QR-4

PR=QR-4

2QR/3=QR-4

2QR=3QR-12

2QR-3QR=-12

-QR=-12

QR=12

---------------------------

PR=QR-4=12-4=8

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)  

- Cutiepatutie ☺❀❤