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Mathematics 17 Online
OpenStudy (brucebaner):

help me plz someone?

OpenStudy (brucebaner):

OpenStudy (steve816):

|dw:1478823156831:dw| Use the distance formula to find the length and the width!

563blackghost (563blackghost):

In case you don't got it memorized. |dw:1478823220224:dw|

OpenStudy (steve816):

@563blackghost I see you finally figured out the magic!!!!! The most useful thing ever!!!!!!!!!!!!

563blackghost (563blackghost):

Simply find the distance between `(-2,3) and (2,-3)` and `(-2,3) and (1,5)` and once each are found multiply :)

563blackghost (563blackghost):

Yes I did @steve816 :)

563blackghost (563blackghost):

\(\huge\bf{d=\sqrt{(-3-3)^{2}+(2+2)^{2}}}\) \(\huge\bf{d=\sqrt{(5-3)^{2} + (1+2)^{2}}}\)

563blackghost (563blackghost):

Find each and then multiply.

OpenStudy (brucebaner):

kk wait

OpenStudy (brucebaner):

i got 22 and 17?

563blackghost (563blackghost):

Not quite. First simplify parathesis. \(\huge\bf{d=\sqrt{(-6)^{2}+(4)^{2}}}\) Apply power then add the two. `Note: -a^n equals a^n, so -6^2 equals 6^2` \(\huge\bf{d=\sqrt{52}}\) Factor out prime, 52 is made from 2^3 and 13. \(\huge\bf{d=2\sqrt{13}}\)

563blackghost (563blackghost):

For the second one we follow a similar process. \(\huge\bf{d=\sqrt{(2)^{2}+(3)^{2}}}\) Simplify exponents and add. \(\huge\bf{d=\sqrt{13}}\)

563blackghost (563blackghost):

Now we multiply the two. \(\huge\bf{2\sqrt {13} \times \sqrt {13} = \color{red}{area}}\)

563blackghost (563blackghost):

Or to do this simplier we leave the first distance in its not simplified form. \(\huge\bf{\sqrt{52} \times \sqrt{13} = \sqrt{52 \times 13} \rightarrow \sqrt{676}}\) \(\huge\bf{\sqrt{676} = \color{red}{answer}}\)

563blackghost (563blackghost):

Do you have a cal to simplify \(\large\bf{\sqrt{676}}\) ?

OpenStudy (mathmale):

Alternatively, can you factor 676 so that at least one of your factors is a perfect square? Supposing that that perfect square were 36; the square root of that would be 6.

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