anonymous
  • anonymous
The diagonals of a square each measure 7 feet. Find the are of the square
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
@Loujoelou
ajprincess
  • ajprincess
|dw:1345312296169:dw| Use pythagoras theorem \(a^2+a^2=7^2\) \(2a^2=49\) Area=\(a^2\) find \(a^2\) from \(2a^2=49\)
anonymous
  • anonymous
So 2a=49 and then divide both sides eright?

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anonymous
  • anonymous
or just leave thats cool too lol
ajprincess
  • ajprincess
ya divide by 2 to find a^2
anonymous
  • anonymous
divide the diagonal by \(\sqrt{2}\) to get the length of the side, then square the result
anonymous
  • anonymous
ok gotchu Next question. Two sqaure are similar. The ratio of a set of sides is 2:4. whatis the ratio of their area?
anonymous
  • anonymous
if you call the diagonal \(d\) then the length of the side is \(\frac{d}{\sqrt{2}}\) and area is \(\frac{d^2}{2}\)
anonymous
  • anonymous
ok gotchu Next question. Two sqaure are similar. The ratio of a set of sides is 2:4. whatis the ratio of their area?
anonymous
  • anonymous
|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
anonymous
  • anonymous
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?
anonymous
  • anonymous
|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.
anonymous
  • anonymous
lol wow haha i wanted to make another question so i could give you another medal haha
anonymous
  • anonymous
Lol medals don't really matter that much to me. :) I enjoy helping others a lot more :D
anonymous
  • anonymous
hah ok so we will stay here <3
anonymous
  • anonymous
@Loujoelou
anonymous
  • anonymous
sure no prob. :)
anonymous
  • anonymous
There you goo @Loujoelou
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anonymous
  • anonymous
if your yhere haha
anonymous
  • anonymous
I'm still here. :) Give me a bit of time to solve :D
anonymous
  • anonymous
ok :)
anonymous
  • anonymous
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? :)
anonymous
  • anonymous
8x+40=80 -40 -40 8x=40 x=5<3
anonymous
  • anonymous
am i right?
anonymous
  • anonymous
Yep good job!! :)
anonymous
  • anonymous
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 :)
anonymous
  • anonymous
problem as*
anonymous
  • anonymous
iight hold on i have to right the next one again <3
anonymous
  • anonymous
K and hey you got nice handwriting.
anonymous
  • anonymous
haha ik all the girls love it <3
anonymous
  • anonymous
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anonymous
  • anonymous
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
anonymous
  • anonymous
Thank you soo Much <3
anonymous
  • anonymous
Let me plug in the answers into my hw brb give me a minute
anonymous
  • anonymous
No prob. :) and okay :)
anonymous
  • anonymous
So the answer is 27,550ft^2?
anonymous
  • anonymous
Yeah :)
anonymous
  • anonymous
Thank you :) hold on i have to look for another Hw page
anonymous
  • anonymous
do you do virtual school o.O?
anonymous
  • anonymous
yes hahah
anonymous
  • anonymous
Find the area of a rhombus with diagonals of 4ft and 5ft . :) But im done wit virtual school im doing hw now
anonymous
  • anonymous
@Loujoelou
anonymous
  • anonymous
Oh okay I do some virtual school as well :)
anonymous
  • anonymous
cools xD
anonymous
  • anonymous
Find the area of a rhombus with diagonals of 4ft and 5ft . :)
anonymous
  • anonymous
if ur there xD
anonymous
  • anonymous
K so all we do is D1*D2/2=Area. D1=Diagonal 1 & D2= Diagonal 2
anonymous
  • anonymous
4*5/2=your answer :)
anonymous
  • anonymous
so 4*5 =20/2=10 xD right?
anonymous
  • anonymous
Yep :)
anonymous
  • anonymous
Hahah Yeahhh xD Find the base of the parallelogram that has an area of 228meters squared and has a hheight of 12meters
anonymous
  • anonymous
BRB GIVE ME A COUPLE OF mINUTES OK <3
anonymous
  • anonymous
K :)
anonymous
  • anonymous
@eAnthonyR
anonymous
  • anonymous
YAYYYY xD ahah :p
anonymous
  • anonymous
Find the base of the parallelogram that has an area of 228meters squared and has a hheight of 12meters If you dont mind xD
anonymous
  • anonymous
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? :)
anonymous
  • anonymous
Divide right :)?
anonymous
  • anonymous
Yep. divide 12 on both sides and get b=228/12
anonymous
  • anonymous
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
anonymous
  • anonymous
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
anonymous
  • anonymous
So do we subtract 12-6? and then thats the D2?
anonymous
  • anonymous
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 :)
anonymous
  • anonymous
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 :)
anonymous
  • anonymous
Ohhhh we multiply? Ok ok
anonymous
  • anonymous
wait but 18 isnt an answer ..
anonymous
  • anonymous
Wait whoops yeah I made a mistake sry let me see.
anonymous
  • anonymous
lol ok <3 its ok xD
anonymous
  • anonymous
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.
anonymous
  • anonymous
thats weird cause 18 isnt an answer hold on maybe i made a mistake
anonymous
  • anonymous
What are the choices?
anonymous
  • anonymous
4 6 8 2
anonymous
  • anonymous
Nope i didnt make a mistake
anonymous
  • anonymous
I can't seem to find what I did wrong sry. :/ Try posting it as a question, other help you on that one.
anonymous
  • anonymous
i posted it xD
anonymous
  • anonymous
join it
anonymous
  • anonymous
Then once we find out what that one is I can help you w/ another one okay?
anonymous
  • anonymous
okkk :)

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