twilaswift
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.
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bloodrain
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The area of the rectangle \[8*5=40\]
Equation for area of a triangle \[A=\frac{ 1 }{ 2 }bh\]
bloodrain
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So a triangle with the same area as the rectangle must be twice the base and height as a rectangle
bloodrain
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u understanding this?
twilaswift
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A little bit.
bloodrain
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ok what do you NOT understand then?
twilaswift
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The base of the triangle. Do I need to add or multiply or anything for it?
bloodrain
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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
\[A=\frac{ 1 }{ 2 }bh\]
\[40=\frac{ 1 }{ 2 }b2\]
bloodrain
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now do the algebra to figure out b
bloodrain
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if u need help ask
twilaswift
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So I divided 40 by what? 2?
bloodrain
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not sure just a moment
twilaswift
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ok
bloodrain
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no im wrong let me try again
twilaswift
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ok
bloodrain
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i have to go someone help please
@ParthKohli
twilaswift
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OK
twilaswift
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40x2 = 80
twilaswift
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so the base is 80 right?
bloodrain
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i think so but not sure