a practice problem in my textbook is really bugging me... the wording is weird and I need some explanation ://
tank u!
What is the area enclosed by the graph of $|x| + |2y|$ = 10 shown here?
+129850 Let x = 0
Then y = -5 and 5
Let y = 0
Then x = -10 and 10
So we have these 4 vertex points in clockwise order A = ( -10,0) B = (0,5) C = (10,0) D = ( 0, -5)
The area of triangle ABC = (1/2) base of 20 * height = 5 = (1/2) (20) (5) = 50
And because of symmetry.....the area of triangle ADC is the same
So.....the total area = 2 (50) = 100
Hope that makes sense !!!!
