## RISH_SHARMA 3 years ago in the diagram vectors OR = 4/5OP, OP = p, and OQ = q and PS:SQ = 1:4 The area of triangle PRS is 5 cm2 . What is the area of ORSQ?

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1. RISH_SHARMA

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2. RISH_SHARMA

let me know if you want to know what ive got so far

3. mcnalljj

Are there any right angles?

4. Mertsj

OP=p OR=.8p p=1.25OR OP-OR=PR p-.8p=PR 1/5p=PR PR/OR=.2P/.8P=1/4 So the triangles are similar by AA similarity. The ratio of the areas of similar triangles is the square of the ratio of the corresponding sides. So (Area of triangle PRS)/(Area of triangle POQ)=1/16 = 5/x Area of triangle POQ=80 Area of Quadrilateral ORSQ= Area of Triangle POQ-Area of Triangle POS=80-5=75 |dw:1333015750160:dw|

5. mcnalljj

4/5...OP, not 4/50 P grrr

6. RISH_SHARMA

see its not given but, when i apply the formula to the PRS triangle, the area formula of a triangle its giving and conforming that prs is a right angled triangle

7. Mertsj

Made a typo: Area of Quadrilateral ORSQ= Area of Triangle POQ-Area of Triangle PRS=80-5=75. That's what it should say.

Mertsj, you forgot area of PRSQ?

9. Mertsj

What are you talking about , PRSQ? What is that? |dw:1333018214856:dw|

10. Mertsj

What do you think its area is, baddinlol?

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12. mcnalljj

He means ORSQ, you wrote POS or PRS is 75

13. Mertsj

I corrected that typo.

14. Mertsj

Made a typo: Area of Quadrilateral ORSQ= Area of Triangle POQ-Area of Triangle PRS=80-5=75. That's what it should say.

15. Mertsj

Did you see that post?

16. mcnalljj

PRS = 80, ORSQ = PRS-5 = 75 ;) I know what you're saying

17. Mertsj

Anyway, I'm done.

18. RISH_SHARMA

http://www.cambridge.edu.au/education/resource/pageproofs_16_652354.pdf question is here go to exercise 15d

@Mertsj Area of quad ORSQ = Area of triangle POQ - 5

20. dpaInc

@RISH SHARMA , do you have the answer? is it 20 cm^2?

21. RISH_SHARMA

nah its 120 cm ^2

22. dpaInc

sorry, that is what i meant... why don't you look at it this way.... |dw:1333019256794:dw| triangle PRS is similar to POQ. so theres a dilation factor of 5. so area of POQ must be 125.

23. dpaInc

since PRS is 5, ORSQ is 125 - 5.