SOLUTION:

Question 1208131:
Found 3 solutions by josgarithmetic, timofer, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Answer without showing the steps, part (a)
-----algebraic mistake needs to be corrected.

~~How that was started~~; if 4x is the perimeter for the square then x is length of ONE SIDE of the square. Also 10-4x becomes circumference for the circle.

Maybe this is enough for you to fill in the steps.
Answer by timofer(104)   (Show Source): You can put this solution on YOUR website!
Take what the other post said. The original length is 10.
Cut to make both pieces into one square and one circle.
The question is to use x as the side of the square shape. This mean that its perimeter
must be 4x.

So what are the two cut lengths you start with?
4x for the square and 10-4x for the circumference of circle.

Area of square, .

Area if circle,
Circumference,
which means .

The circle's area then must be
or, .

The TOTAL ,
Or you put into what form you need.

MORE: If you want as combined for same denominator then .
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

After manipulations of other tutors, the problem's formulation/description disappeared, by some mysterious way. So, I do not know what the original description is - I only may guess about it. But I see that the answers of the two tutors, @josgarithmetic and @timofer , are mathematically different and are NOT mathematically compatible each with the other. Based on my guessing about the original problem's formulation, I think that the solution and the answer by @timofer is correct, while the answer by @josgarithmetic is wrong.