1) area of square pen is 529, so the each side of the fence is square root of 529, which is 23yd.
Perimeter of the square pen would be 4 * 23 = 132yd.
If you wanted a round pen and you want it to be rounded to the nearest hundreth, and you have enough fencing for 529square yards, the nearest hunderth is 500. So, when you divide 500/3,14 = 159,24. From there, square root is half of the diameter, and the square root of 159.24 is 12,62, so the diameter is 12.62*2 = 25,24.
Square pen gives the bigger area.
2) The perimeter is = 2*400m + 2*200m = 1200m. That's once around the park, if you go twice, it's double, so 2400m.
If you walk diagonally, here how it's done: You need to use Pithagoras, so the lenght you are looking for is c squared = 400 squared + 200 squared = 160000 + 40000 = 200000, so the c is the square root of 200000 and that is 447.22, but rounded to the nearest meter, we have 447m.
Hope it helps!
