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46
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A line with slope of -3 intersects the positive x-axis at A and the positive y-axis at B. A second line intersects the x-axis at (8,0) and the y-axis at D. The lines intersect at (4,4) . What is the area of the shaded quadrilateral  OBEC?

 

 May 4, 2021
 #1
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BA = (4, 4) with slope of -3. 

y = -3x + 16

OB = 16

 

DC = points (4, 4) and (8, 0)

y = -x + 8

OD = 8

 

DOC = 8*8/2 = 32

BDE = 8*4/2 = 16

16+32 = 48 :)

 

=^._.^=

 May 5, 2021

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