quick algebra question?

Question

anonymous · Answer

the area of a square is 5 more than its perimeter. find the length of a side.

anonymous · Answer

my work so far:
4r=r^2+5
r^2-4r+5=0
then I am supposed to factor? I cannot figure out how to factor this! I literally tried every possible way.. :( someone please help me?

anonymous · Answer

Good morning I think I mIght be able to assist

anonymous · Answer

I bRelieve your doing it correctly so far

anonymous · Answer

awesome thanks!

anonymous · Answer

Hey that's what I'm here for

anonymous · Answer

Brb

anonymous · Answer

Ok I'm back Olivia

anonymous · Answer

And thX for the compliment I appreciate it

anonymous · Answer

ok im here!
:)

amistre64 · Answer

Are we reading it correctly?

Area = Perimeter + 5

how do we define area and perimeter of a square ?

anonymous · Answer

yes I believe so.. And im not sure, I honestly just follow the practice problems along with the actual problem to solve it. :/

amistre64 · Answer

area, is 5 more than perimeter

area = perimeter + 5

area = r^2, and perimeter is 4r

youre initial setup seems flawed to me

anonymous · Answer

ok, like i said I was just following the practice problem so the way I set it up is probably wrong. how would you set it up?

amistre64 · Answer

the way i have already set it up ...

area = perimeter + 5

anonymous · Answer

ok but how would i solve that? thanks for ur help btw!

amistre64 · Answer

the area of a square is 5 more than its perimeter
     ^^^                    = ^ ^^^            ^^^^^^^

r^2  =       4r      + 5
area = perimeter + 5

------------------

but you setup as: 

     4r       =  r^2 + 5
perimeter = area + 5
-------------------

solving it is just finding the solutions to the quadratic, factor if you can (it most likely factorable)

amistre64 · Answer

r^2 -4r -5 = 0

anonymous · Answer

ok give me a second to factor it

amistre64 · Answer

any thoughts about how we could factor it?

amistre64 · Answer

k

anonymous · Answer

(r+1)(r-5)=0

amistre64 · Answer

you did fine with the factoring

anonymous · Answer

ok, so it would solve to be r=-1, and r=5...so it would be 5 units?

amistre64 · Answer

5 is the workable length, -1 is just a extra value that doesnt fit with the expected domain and can be ignored

5 is fine

anonymous · Answer

yay is what right! thanks so much for your help it was a lot easier than i thought :p

amistre64 · Answer

ive had years of practice :)  youll do fine