# Math Help - Area/Perimeter Function Problem

1. ## Area/Perimeter Function Problem

I posted a problem last week with this same picture and got some great help- many thanks ahead of time!

Find the perimeter function in terms of x if the area function is A(x)= 28 sq. ft.

2. So, i guess your area is
P(x) = pi*x + 2y + 2x

now substitute A(x) for 28

I hope I'm right.

3. Would the area be 2xy + 1/2pi * (x)^2??

4. Originally Posted by kittykat616
Would the area be 2xy + 1/2pi * (x)^2??
Yes, considering that the radius os the semicircle is x

5. Alright. So would the peimeter be (2x+2y)+ Pi (x)? Then put the area function every where there is x??

6. I misunderstood your question in the first post, sorry.

Yes, with the perimeter function find the value of y in terms of x and then substitute that in the area function.

7. So, the value of y in terms of x would be

x=2y + 1/2pi(x) , right?

Sorry for so many questions!