AB~=DC and AD~=BC.
Find the perimeter of the figure.
To find the perimeter of the figure, we need to determine the lengths of all the sides and then add them up.
Given the information AB ~= DC and AD ~= BC, we know that sides AB and DC are congruent (of equal length) and sides AD and BC are congruent. Let's label the lengths of these sides as x and y respectively.
So, the perimeter of the figure would be the sum of all four sides: AB + BC + CD + DA.
Since AB and DC are congruent and both have length x, their combined length is 2x.
Similarly, since AD and BC are congruent and both have length y, their combined length is 2y.
Therefore, the perimeter of the figure is 2x + 2y, or simply 2(x + y).