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Ruhhr

  • 2 years ago

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

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  1. Ruhhr
    • 2 years ago
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    |dw:1349190507668:dw| (not drawn to scale)

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

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

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

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

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

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

  8. pratu043
    • 2 years ago
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    Sorry ratio.

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

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

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

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

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

  14. pratu043
    • 2 years ago
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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?

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

  16. pratu043
    • 2 years ago
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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)

  17. pratu043
    • 2 years ago
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    Pretty straightforward now.

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

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

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

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

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

  23. Ruhhr
    • 2 years ago
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    yes

  24. pratu043
    • 2 years ago
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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?

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

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

  27. Ruhhr
    • 2 years ago
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    yes

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

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

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

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

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

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

  34. pratu043
    • 2 years ago
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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?

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

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