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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?

 Jul 8, 2021
 #1
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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   !!!!

 

cool cool cool

 Jul 8, 2021
 #2
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+1

tysm!!! that helped a lot :))

 Jul 8, 2021

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