ABCD-is-a-rectangle-such-that-AB-gt-BC-and-O-is-the-mid-point-of-DC-if-OB-0-1m-and-BOC-find-an-expression-for-the-perimeter-of-the-rectangle-in-terms-of-Find-also-the-values-of-

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 .