ABCD is a rectangle such that ∣AB∣>∣BC∣ and O is the mid−point of DC, if ∣OB∣=0.1m and ∠BOC =𝛉, find an expression for the perimeter of the rectangle in terms of 𝛉. Find also, the values of R and 𝛃 for which the perimeter is Rcos(𝛉−𝛃). Deduce, the greatest possible value oc the perimeter.


Question and Answers Forum

All Questions Topic List
None Questions
Previous in All Question Next in All Question
Previous in None Next in None
Question Number 188260 by Humble last updated on 28/Feb/23

$A B C D i s a r e c t a n g l e s u c h t h a t$ $∣ A B ∣>∣ B C ∣ a n d O i s t h e m i d - p o i n t$ $o f D C, i f ∣ O B ∣= 0.1 m a n d ∠ B O C = θ,$ $f i n d a n e x p r e s s i o n f o r t h e p e r i m e t e r o f$ $t h e r e c t a n g l e i n t e r m s o f θ . F i n d a l s o,$ $t h e v a l u e s o f R a n d β f o r w h i c h t h e$ $p e r i m e t e r i s R c o s (θ - β) . D e d u c e, t h e$ $g r e a t e s t p o s s i b l e v a l u e o c t h e p e r i m e t e r .$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum