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eAnthonyR

  • 2 years ago

The diagonals of a square each measure 7 feet. Find the are of the square

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  1. eAnthonyR
    • 2 years ago
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    @Loujoelou

  2. ajprincess
    • 2 years ago
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    |dw:1345312296169:dw| Use pythagoras theorem \(a^2+a^2=7^2\) \(2a^2=49\) Area=\(a^2\) find \(a^2\) from \(2a^2=49\)

  3. eAnthonyR
    • 2 years ago
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    So 2a=49 and then divide both sides eright?

  4. eAnthonyR
    • 2 years ago
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    or just leave thats cool too lol

  5. ajprincess
    • 2 years ago
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    ya divide by 2 to find a^2

  6. satellite73
    • 2 years ago
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    divide the diagonal by \(\sqrt{2}\) to get the length of the side, then square the result

  7. eAnthonyR
    • 2 years ago
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    ok gotchu Next question. Two sqaure are similar. The ratio of a set of sides is 2:4. whatis the ratio of their area?

  8. satellite73
    • 2 years ago
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    if you call the diagonal \(d\) then the length of the side is \(\frac{d}{\sqrt{2}}\) and area is \(\frac{d^2}{2}\)

  9. eAnthonyR
    • 2 years ago
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    ok gotchu Next question. Two sqaure are similar. The ratio of a set of sides is 2:4. whatis the ratio of their area?

  10. Loujoelou
    • 2 years ago
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    |dw:1345313796722:dw| This is what the information gives us so far. It splits our square into 2 triangles and we can do pythageoren theorem what the sides are. A^2+B^2=7^2. is the formula for the pythageroen theorem. A^2+B^2=49. We simplified this here. They are both the same thing however because the sides of a square are equal so we really have 2A^2=49. We divide both sides by 2, and get A^2=24.5 Now we have to do the opposite of squaring, and that's square root. Now we have A^2= \[\sqrt{24.5} \] This is one side of the square, and we would do \[\sqrt{24.5}*\sqrt{24.5}\] to get our area of this square

  11. eAnthonyR
    • 2 years ago
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    Lol i got the answer xD thanks man :) Next question Two sqaure are similar. The ratio of a set of sides is 2:4. whatis the ratio of their area?

  12. Loujoelou
    • 2 years ago
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    |dw:1345314609037:dw| with the info. above, that's what we get and for the first square, let's find the area. Area= 2*2; Area=4. So that means for our 1st square we have an area of 4. Now we do the same for the 2nd square, we do Area= 4*4; Area=16. That means the area of both squares is 4 & 16. We put this into a ratio, and we have 4:16, which can be simplified to 1:4 if needed.

  13. eAnthonyR
    • 2 years ago
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    lol wow haha i wanted to make another question so i could give you another medal haha

  14. Loujoelou
    • 2 years ago
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    Lol medals don't really matter that much to me. :) I enjoy helping others a lot more :D

  15. eAnthonyR
    • 2 years ago
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    hah ok so we will stay here <3

  16. eAnthonyR
    • 2 years ago
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    @Loujoelou

  17. Loujoelou
    • 2 years ago
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    sure no prob. :)

  18. eAnthonyR
    • 2 years ago
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    There you goo @Loujoelou

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  19. eAnthonyR
    • 2 years ago
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    if your yhere haha

  20. Loujoelou
    • 2 years ago
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    I'm still here. :) Give me a bit of time to solve :D

  21. eAnthonyR
    • 2 years ago
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    ok :)

  22. Loujoelou
    • 2 years ago
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    K. so yeah that's the square and you labelled it corretly :). We would do the same thing as we would with regular numbers, and we will multiply (2x+10)(4), and that would give us 8x+40=80. Do you know how to do the rest? :)

  23. eAnthonyR
    • 2 years ago
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    8x+40=80 -40 -40 8x=40 x=5<3

  24. eAnthonyR
    • 2 years ago
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    am i right?

  25. Loujoelou
    • 2 years ago
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    Yep good job!! :)

  26. Loujoelou
    • 2 years ago
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    and if you wanted to double check this problem, you would put x back into the probolv e. 5 and solve. (2(5)+10)=20, and 20*4=80 so this would be correct :)

  27. Loujoelou
    • 2 years ago
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    problem as*

  28. eAnthonyR
    • 2 years ago
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    iight hold on i have to right the next one again <3

  29. Loujoelou
    • 2 years ago
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    K and hey you got nice handwriting.

  30. eAnthonyR
    • 2 years ago
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    haha ik all the girls love it <3

  31. eAnthonyR
    • 2 years ago
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  32. Loujoelou
    • 2 years ago
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    K :) All you would do here, is find the area of the bigger rectangle first. 200*140=28000. Now we find the area of the pool. 30*15=450. Finally all we do is subtract them, 28000-450=answer ft.^2

  33. eAnthonyR
    • 2 years ago
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    Thank you soo Much <3

  34. eAnthonyR
    • 2 years ago
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    Let me plug in the answers into my hw brb give me a minute

  35. Loujoelou
    • 2 years ago
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    No prob. :) and okay :)

  36. eAnthonyR
    • 2 years ago
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    So the answer is 27,550ft^2?

  37. Loujoelou
    • 2 years ago
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    Yeah :)

  38. eAnthonyR
    • 2 years ago
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    Thank you :) hold on i have to look for another Hw page

  39. Loujoelou
    • 2 years ago
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    do you do virtual school o.O?

  40. eAnthonyR
    • 2 years ago
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    yes hahah

  41. eAnthonyR
    • 2 years ago
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    Find the area of a rhombus with diagonals of 4ft and 5ft . :) But im done wit virtual school im doing hw now

  42. eAnthonyR
    • 2 years ago
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    @Loujoelou

  43. Loujoelou
    • 2 years ago
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    Oh okay I do some virtual school as well :)

  44. eAnthonyR
    • 2 years ago
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    cools xD

  45. eAnthonyR
    • 2 years ago
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    Find the area of a rhombus with diagonals of 4ft and 5ft . :)

  46. eAnthonyR
    • 2 years ago
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    if ur there xD

  47. Loujoelou
    • 2 years ago
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    K so all we do is D1*D2/2=Area. D1=Diagonal 1 & D2= Diagonal 2

  48. Loujoelou
    • 2 years ago
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    4*5/2=your answer :)

  49. eAnthonyR
    • 2 years ago
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    so 4*5 =20/2=10 xD right?

  50. Loujoelou
    • 2 years ago
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    Yep :)

  51. eAnthonyR
    • 2 years ago
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    Hahah Yeahhh xD Find the base of the parallelogram that has an area of 228meters squared and has a hheight of 12meters

  52. eAnthonyR
    • 2 years ago
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    BRB GIVE ME A COUPLE OF mINUTES OK <3

  53. Loujoelou
    • 2 years ago
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    K :)

  54. Loujoelou
    • 2 years ago
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    @eAnthonyR

  55. eAnthonyR
    • 2 years ago
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    YAYYYY xD ahah :p

  56. eAnthonyR
    • 2 years ago
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    Find the base of the parallelogram that has an area of 228meters squared and has a hheight of 12meters If you dont mind xD

  57. Loujoelou
    • 2 years ago
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    K so the formula of a parallelogram is Area=Base*Height. From the info above, we got 228=b*12. Can you find the base now? :)

  58. eAnthonyR
    • 2 years ago
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    Divide right :)?

  59. Loujoelou
    • 2 years ago
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    Yep. divide 12 on both sides and get b=228/12

  60. eAnthonyR
    • 2 years ago
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    Find the missing diagonal of the rhombus that has an area of 12 feet sqaures and one diagonal of 6ft. If you may can you explain this one to me so i can understand alittle bit

  61. Loujoelou
    • 2 years ago
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    K. To find the area of a rhombus we do D1+D2/2=Area. The D1/2 are the diagonals. Using the info. we have we get 6+D2/2=12

  62. eAnthonyR
    • 2 years ago
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    So do we subtract 12-6? and then thats the D2?

  63. Loujoelou
    • 2 years ago
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    No, here we multiply the 2 on both sides, so we get 6+D2=24. Then we subtract both sides by 6 and get D2=18 :)

  64. Loujoelou
    • 2 years ago
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    No, here we multiply the 2 on both sides, so we get 6+D2=24. Then we subtract both sides by 6 and get D2=18 :)

  65. eAnthonyR
    • 2 years ago
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    Ohhhh we multiply? Ok ok

  66. eAnthonyR
    • 2 years ago
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    wait but 18 isnt an answer ..

  67. Loujoelou
    • 2 years ago
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    Wait whoops yeah I made a mistake sry let me see.

  68. eAnthonyR
    • 2 years ago
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    lol ok <3 its ok xD

  69. Loujoelou
    • 2 years ago
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    No wait if we double-check what we got, in the formula D1+D2/2=12 and put 6 & 18 in, 18+6/2=12;24/2=12;12=12 it's right.

  70. eAnthonyR
    • 2 years ago
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    thats weird cause 18 isnt an answer hold on maybe i made a mistake

  71. Loujoelou
    • 2 years ago
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    What are the choices?

  72. eAnthonyR
    • 2 years ago
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    4 6 8 2

  73. eAnthonyR
    • 2 years ago
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    Nope i didnt make a mistake

  74. Loujoelou
    • 2 years ago
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    I can't seem to find what I did wrong sry. :/ Try posting it as a question, other help you on that one.

  75. eAnthonyR
    • 2 years ago
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    i posted it xD

  76. eAnthonyR
    • 2 years ago
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    join it

  77. Loujoelou
    • 2 years ago
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    Then once we find out what that one is I can help you w/ another one okay?

  78. eAnthonyR
    • 2 years ago
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    okkk :)

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