Answer:
x = 8
y = 20
Explanation:
To find x, you can divide the total perimeter (128) by 4 to get one side length of the square:
128 ÷ 4 = 32
Next, to get x, you solve the equation:
4x = 32
Divide by 4 on both sides:
x = 8
Then, to find y, you can use the properties of a square to know that all diagonals are equal. Therefore, since AC = 40 BD = 40 as well. You can divide 40 by 2 to get the length of BE, which is half as long as BD:
40 ÷ 2 = 20
y = 20
Therefore, x = 8 and y = 20.
I hope this helps!