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twilaswift

  • one year ago

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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  1. bloodrain
    • one year ago
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    The area of the rectangle \[8*5=40\] Equation for area of a triangle \[A=\frac{ 1 }{ 2 }bh\]

  2. bloodrain
    • one year ago
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    So a triangle with the same area as the rectangle must be twice the base and height as a rectangle

  3. bloodrain
    • one year ago
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    u understanding this?

  4. twilaswift
    • one year ago
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    A little bit.

  5. bloodrain
    • one year ago
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    ok what do you NOT understand then?

  6. twilaswift
    • one year ago
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    The base of the triangle. Do I need to add or multiply or anything for it?

  7. bloodrain
    • one year ago
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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 \[A=\frac{ 1 }{ 2 }bh\] \[40=\frac{ 1 }{ 2 }b2\]

  8. bloodrain
    • one year ago
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    now do the algebra to figure out b

  9. bloodrain
    • one year ago
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    if u need help ask

  10. twilaswift
    • one year ago
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    So I divided 40 by what? 2?

  11. bloodrain
    • one year ago
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    not sure just a moment

  12. twilaswift
    • one year ago
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    ok

  13. bloodrain
    • one year ago
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    no im wrong let me try again

  14. twilaswift
    • one year ago
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    ok

  15. bloodrain
    • one year ago
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    i have to go someone help please @ParthKohli

  16. twilaswift
    • one year ago
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    OK

  17. twilaswift
    • one year ago
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    40x2 = 80

  18. twilaswift
    • one year ago
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    so the base is 80 right?

  19. bloodrain
    • one year ago
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    i think so but not sure

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