Question

Find the perimeter of the given quadrilateral PQRS. Given that angle PQR and angle PRS are 90 degrees each

Answer 1

Answer:

All sides will be equal PQ=90,RS=90,QR=90

Step-by-step explanation:

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Answer 2

Answer:

Solution

In right-angled triangle PQR,  

QR  

2

=PQ  

2

+PR  

2

     [by Pythagoras theorem]

⇒PR  

2

=QR  

2

−PQ  

2

 

⇒PR=  

17  

2

−8  

2

 

​

 

             =15

Now, ar(ΔPQR)=  

2

1

​

×PQ×QR

               

                              =  

2

1

​

×8×15=60 cm  

2

 

And ar(ΔPRS)=  

2

1

​

×PR×SR

                             =  

2

1

​

×6×15=45cm  

2

 

Hence, ar(PQRS)=ar(PQR)+ar(PRS)

                                 =60+45

                                 =105 cm  

2

Step-by-step explanation: