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Ruhhr Group Title

the figures are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number. The area of the large triangle is 177 ft² (will draw figure below) .. A) 100 ft² .. B) 347 ft² .. C) 196 ft² .. D) 90 ft²

  • 2 years ago
  • 2 years ago

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  1. Ruhhr Group Title
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    |dw:1349190507668:dw| (not drawn to scale)

    • 2 years ago
  2. pratu043 Group Title
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    What is 14 ft and 10 ft?

    • 2 years ago
  3. pratu043 Group Title
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    |dw:1349190940501:dw|

    • 2 years ago
  4. pratu043 Group Title
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    Are you there @Ruhhr?

    • 2 years ago
  5. pratu043 Group Title
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    ?????

    • 2 years ago
  6. Ruhhr Group Title
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    Sorry, getting caught up in my work.. & yeah it shows the lenght of the sides... I got that already..

    • 2 years ago
  7. pratu043 Group Title
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    I'm not really good at this but the ration of the sides are the same right?

    • 2 years ago
  8. pratu043 Group Title
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    Sorry ratio.

    • 2 years ago
  9. pratu043 Group Title
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    |dw:1349191230318:dw|

    • 2 years ago
  10. Ruhhr Group Title
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    Ratio: is a comparison of two quantities by division.

    • 2 years ago
  11. pratu043 Group Title
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    So 14:10 = AB:PQ = BC:QR

    • 2 years ago
  12. pratu043 Group Title
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    14:10 = 7:5

    • 2 years ago
  13. Ruhhr Group Title
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    How does it equal 7.5 though? What did you do to get to 7.5?

    • 2 years ago
  14. pratu043 Group Title
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    No not 7.5 its 7:5. If you divide 14:10 by two, you get 7:5(14/2:10/2). Got that?

    • 2 years ago
  15. Ruhhr Group Title
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    Oh yes! Got it! Then what do you do?

    • 2 years ago
  16. pratu043 Group Title
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    Area of ABC = 177 ft^2 Lets take the base as 14 ft so that we can find the altitude to that base. You need the altitude and the corresponding base to get the area. 1/2 * base * height = 177 1/2 * 14 * h = 177 h = (177 * 2)14 = 25.3 approx. (25.28)

    • 2 years ago
  17. pratu043 Group Title
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    Pretty straightforward now.

    • 2 years ago
  18. pratu043 Group Title
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    Got it till here?

    • 2 years ago
  19. Ruhhr Group Title
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    wait how did you get 177 when all it provides is 14?

    • 2 years ago
  20. pratu043 Group Title
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    The area is 177 right? Its given.

    • 2 years ago
  21. pratu043 Group Title
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    Area of the largest triangle is 177 ft^2.

    • 2 years ago
  22. pratu043 Group Title
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    sorry larger. Got that?

    • 2 years ago
  23. Ruhhr Group Title
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    yes

    • 2 years ago
  24. pratu043 Group Title
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    So even the heights of the two triangles are in the ratio of 7:5. So lets take the height to the base 10 ft in PQR as x. 25.3:x = 7:5 => 25.3/x = 7/5 Can you find x?

    • 2 years ago
  25. Ruhhr Group Title
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    I'm lost @.@

    • 2 years ago
  26. pratu043 Group Title
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    Lost on how to find x?

    • 2 years ago
  27. Ruhhr Group Title
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    yes

    • 2 years ago
  28. pratu043 Group Title
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    Hint - In the equation 25.3/x = 7/5, cross multiply. You'll get 25.3 * 5 = 7x. Now?

    • 2 years ago
  29. Ruhhr Group Title
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    I get 7x = 127.5 by cross multiplying

    • 2 years ago
  30. Ruhhr Group Title
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    I get 7x = 127.5 by cross multiplying

    • 2 years ago
  31. pratu043 Group Title
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    So what's x?

    • 2 years ago
  32. Ruhhr Group Title
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    and when i divide that.. i get 18.21

    • 2 years ago
  33. Ruhhr Group Title
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    igtg to my next class now

    • 2 years ago
  34. pratu043 Group Title
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    Yep that's right. So now we have the corresponding base and height for PQR. 1/2 * 18.21 * 10 Easy now?

    • 2 years ago
  35. pratu043 Group Title
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    You get 91.05. I think you should round off to the nearest ten and write it as 90.

    • 2 years ago
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