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anonymous

  • 5 years ago

The area of an isosceles trapezoid is 90 in squared, the height is 6 inches, and the congruent legs are 10 inches. Find the length of the longer base.

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  1. Owlfred
    • 5 years ago
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    Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

  2. amistre64
    • 5 years ago
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    take out the area that they give you and your left with a triangle right?

  3. amistre64
    • 5 years ago
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    90 - 60 =30 we have an area of 30 to account for

  4. anonymous
    • 5 years ago
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    I dont think im following you. How'd you get 60?

  5. amistre64
    • 5 years ago
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    the height is 6 so....... 6b/2 = 30 3b = 30 b = 10 more than the other one

  6. amistre64
    • 5 years ago
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    the area of a rectangle is base times height right? 6.10 = 60

  7. amistre64
    • 5 years ago
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    90 total - 60 that is given = 30 left

  8. anonymous
    • 5 years ago
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    But 10 is the leg not a base. So it would make triangle not a square right?

  9. amistre64
    • 5 years ago
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  10. amistre64
    • 5 years ago
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    the longer base = 20

  11. amistre64
    • 5 years ago
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    i see it lol

  12. anonymous
    • 5 years ago
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    Im confused. What is 90 and how did you know that 10 was the base>>

  13. amistre64
    • 5 years ago
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    then we pythag it to find the 'base'

  14. anonymous
    • 5 years ago
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    see what?

  15. amistre64
    • 5 years ago
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    i see that i read the problem wrong and know how to fix it...

  16. amistre64
    • 5 years ago
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    6^2 + b^2 = 10^2 b^2 = 100 - 36 b = sqrt(64) = 8 , roght?

  17. amistre64
    • 5 years ago
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    like this; and the problem says the trap area = 90

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  18. anonymous
    • 5 years ago
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    Hold on im working it out

  19. anonymous
    • 5 years ago
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    Right i got that

  20. amistre64
    • 5 years ago
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    6*16 ----- = 48 for the 'area' of the triangle 2 90 - 48 = 42 6(7) = 42...... small side = 7 large side = 23 then right?

  21. amistre64
    • 5 years ago
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  22. anonymous
    • 5 years ago
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    im working it

  23. anonymous
    • 5 years ago
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    Wait I think I'm getting it but your saying 48 is the area for both the small triangles right?

  24. amistre64
    • 5 years ago
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    yes;

  25. amistre64
    • 5 years ago
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    together they make one triangle with a height of 6 and a base of 16

  26. anonymous
    • 5 years ago
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    Oh! I got it. THanks for the help

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