Melody

No one is getting annoyed.  We like people to learn from us. That is a large part of why we want to be here.

People who do not ask qustions, do not learn.

Here is a trapezoid soving calculator that was used for this question.

Thanks for the link guest.

Thanks, I will add that calc link to our reference material thread, found in our sticky topics.

I got chased by a bull sea lion one time.  

If I had it on video I am sure it would provide plenty of entertainment.

Fortunately for me I did not get caught.     

Find the quotient and remainder when x^2 + 2x + 10 is divided by x - 1.

There is more than one way to do this. My way is slightly unusual. 

Normally I would just do a standard polynomial division.

f(1) = 1+2+10= 13   that is the remainder

so we have

\(f(x)=x^2+2x+10\\ f(x)=x^2+2x-3+13\\ f(x)=(x+3)(x-1)+13\\\)

Divide it by x-1  where x is not equal to 1

and we get

x+3    remainder 13

Thanks guest.

Here is the pic.

Did you get some program to work that out?

Guest, Why would I want to solve it from anywhere?

If there are any errors in my solution they are only careless ones.

I was only answering for your benefit not for mine. 

Do you realize how rude your comment sounds?

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Thanks for the point Chris.  

Thanks for putting such effort into explaining that Hectictar :)

I expect Nirvana, more then most, will take full advantage of your time and explanation.

You are both great assets to this forum  

I have drawn something similar.

The 17 is exact but the 50 is not. 

I drew it in Geobebra and it has variables on a slider so the shape can be changed.

I actually do not think it should be that difficult to answer properly but I have not been sucessful

Mmm, your right, Mine is just one possible answer, with regards to the diagonal lengths, and it certainly does not need to be a rectangle. 

Plus I failed to account for the fact that all side lengths are integer.

So in short, mine is wrong.

Did you draw that pic or was it given to you?