You didn't have to post again for correcting a mistake, you could use this :
I am having trouble figuring out where to begin.
The problem:
A figure has the shape of a square with semicircles on each side. The figure has a perimeter of 60ft. Find the area of the figure.
I am thinking that the arc of eac semicircle which would be that perimeter of each is 15 ft. But that is as far as I can get. I am frustrated. haha
Bill
From the original post, sounds like it's a square with 4 semicircles attached - one on each side - not just two. Since the perimeter is 60, the OP's assumption that each semicircle has a perimeter of 15.
Now, take two of those semicircles, put them together, and you have a full circle with a perimeter of 30. Remember that , so the diameter of each circle is - thus, the radius is - we'll need both the diameter and the radius for this.
Now, we have two full circles in our shape (4 semicircles), so they have a TOTAL area of . Putting in our radius gives:
.
So that's the area of our four semicircles. Now, note that the square has a side length that's equal to the diameter of the circle, which we said was . To find the area of a square, just square the side length. So, the area of our square is:
.
To find the total area of both shapes, add them together: