anonymous
  • anonymous
A rectangle that is 8 inches long and 5 inches wide has the same area as a triangle that is 2 inches high. What is the base of the triangle? Show and explain each step to find the answer.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
The area of the rectangle \[8*5=40\] Equation for area of a triangle \[A=\frac{ 1 }{ 2 }bh\]
anonymous
  • anonymous
So a triangle with the same area as the rectangle must be twice the base and height as a rectangle
anonymous
  • anonymous
u understanding this?

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anonymous
  • anonymous
A little bit.
anonymous
  • anonymous
ok what do you NOT understand then?
anonymous
  • anonymous
The base of the triangle. Do I need to add or multiply or anything for it?
anonymous
  • anonymous
well if you already know the height (2) and area (half the area of the rectangle or 20in) you can figure out the base of the triangle by first multiplying the area by 2 (40) and then dividing it by the height (2) here are all the steps from beginning to end: for the rectangle \[A=bh\] \[A=8*5\] \[A=40\] for the triangle \[A=\frac{ 1 }{ 2 }bh\] \[40=\frac{ 1 }{ 2 }b2\]
anonymous
  • anonymous
now do the algebra to figure out b
anonymous
  • anonymous
if u need help ask
anonymous
  • anonymous
So I divided 40 by what? 2?
anonymous
  • anonymous
not sure just a moment
anonymous
  • anonymous
ok
anonymous
  • anonymous
no im wrong let me try again
anonymous
  • anonymous
ok
anonymous
  • anonymous
i have to go someone help please @ParthKohli
anonymous
  • anonymous
OK
anonymous
  • anonymous
40x2 = 80
anonymous
  • anonymous
so the base is 80 right?
anonymous
  • anonymous
i think so but not sure

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