Find-area-of-region-that-satisfy-x-2-y-3-lt-3-

Question Number 153479 by naka3546 last updated on 07/Sep/21

F i n d a r e a o f r e g i o n t h a t s a t i s f y

∣ x - 2 ∣ + ∣ y + 3 ∣ < 3

Answered by aleks041103 last updated on 07/Sep/21

T r a n s l a t i o n {d o e s n}^{'} t c h a n g e t h e {r e g i o n}^{'} s

a r e a . T h e r e f o r e w e c a n f i n d t h e a r e a

o f t h e r e g i o n ∣ x ∣ + ∣ y ∣< 3 i n s t e a d .

T h e b o u n d a r y i s

∣ x ∣ + ∣ y ∣= 3

1 s t q u a d r a n t : y = 3 - x

2 n d q u a d r a n t : y = x - 3

3 r d q u a d r a n t : y = - 3 - x

4 t h q u a d r a n t : y = 3 + x

T h e n t h e a r e a i s s i m p l y

A = 4 (\frac{3.3}{2}) = 18

Commented by talminator2856791 last updated on 08/Sep/21

how did you make this animation ?