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Can someone define for me what it means for a shape to be "bounded?"

 

Here is an example problem with the term:

What is the area, in square units, of the triangle bounded by y = 0, y = x + 4 and x + 3y = 12?

 Jun 6, 2015

Best Answer 

 #1
avatar+129852 
+10

Zectico, look at the graph of the area bounded (enclosed) by these three lines here....https://www.desmos.com/calculator/qsh8xqglfs

 

We have a triangle with its vertex points at (-4, 0), (12, 0)  and (0, 4)

 

The height of this triangle is 4  and the base is 16.....so the area is just (1/2)bh = (1/2)16(4)  =  32 sq units

 

 

 Jun 6, 2015
 #1
avatar+129852 
+10
Best Answer

Zectico, look at the graph of the area bounded (enclosed) by these three lines here....https://www.desmos.com/calculator/qsh8xqglfs

 

We have a triangle with its vertex points at (-4, 0), (12, 0)  and (0, 4)

 

The height of this triangle is 4  and the base is 16.....so the area is just (1/2)bh = (1/2)16(4)  =  32 sq units

 

 

CPhill Jun 6, 2015

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