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A triangular region is bounded by the two coordinate axes and the line given by the equation 2x + y = 6. What is the area of the region, in square units?

 Apr 24, 2019
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A triangular region is bounded by the two coordinate axes and the line given by the equation 2x + y = 6. What is the area of the region, in square units?

 

The x-axis and the y-axis form two legs of the triangle, and the line 2x + y = 6 forms the third side. 

 

use the equation 2x + y = 6     to determine the points where the third side joins each of the other two

 

at x = 0     you get y = 6          That's the height of the triangle.  (the distance up the y-axis)

 

at y = 0     you get x = 3          That's the base of the triangle.  (the distance out the x-axis)

 

Area of a triangle = half the base times the height

 

A = (1/2)*(3)*(6) = (1/2)*(18)

 

A = 9 units2

.

 Apr 24, 2019

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