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anonymous

  • one year 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 smaller trapezoid is 558 m2. Test Image 3147 m2 3249 m2 576 m2 14 m2

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  1. campbell_st
    • one year ago
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    you need to include the diagram

  2. anonymous
    • one year ago
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    the image wont show its a little trapezoid that is24m and a bigger trapezoid that is 57 m|dw:1434053254505:dw|

  3. campbell_st
    • one year ago
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    ok so the ratio of the corresponding side in is 57/24 you need to square this number and then multiply by the small area

  4. campbell_st
    • one year ago
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    if you know the ratio of the linear measurements, the ratio of the areas is the square of the linear ratio.. ratio of the volumes is the cube of the linear ratio

  5. campbell_st
    • one year ago
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    so the calculation is \[(\frac{57}{24})^2 \times 558\]

  6. anonymous
    • one year ago
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    i don't understand its a trapezoid and they give me the area of the small on and i have to find the area of the big one and the small trapezoid has 24m under its biggest side and the big trapezoid as 57m under so i don't know how to get the big area oh the world is so much clearer now thank you

  7. campbell_st
    • one year ago
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    ok... they is a thing about similar shapes... all sides are in the same ratio... in your 2 trapezoids, the small has 24 in the same position as the 57 in the large. does that make sense...?

  8. anonymous
    • one year ago
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    it didn't work

  9. campbell_st
    • one year ago
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    ok... here is the key, you don't need to find any side lengths in the larger trapezoid. just use the scaling factor... the scaling factor: large = 57 small = 24 so the scaling factor from small to large is \[\frac{57}{24} ~~or~~\frac{19}{8}\] does that make sense..?

  10. campbell_st
    • one year ago
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    next step is to square the scaling factor so calculate \[(\frac{19}{8})^2 = ?\] then multiply that value by the small area 558

  11. campbell_st
    • one year ago
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    that will give the area of the large trapezoid

  12. anonymous
    • one year ago
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    okay ill try that

  13. anonymous
    • one year ago
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    it did work :"'(

  14. campbell_st
    • one year ago
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    glad to help

  15. anonymous
    • one year ago
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    didn't

  16. campbell_st
    • one year ago
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    here is an online calculator http://web2.0calc.com/ enter \[( 57 \div 24) ^2 \times 558 = \]

  17. campbell_st
    • one year ago
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    because I just did it and got one of your answer choices

  18. anonymous
    • one year ago
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    oh i kept multiply by 2!! thankyou i had to multiply by 5.64x558

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