ABCD is a Rectangle. Find the values of x and y?AB =30 DA= 14 DC= x+y CB=x-yA.

To find the values of x and y in the given rectangle ABCD, we can use the information provided.

1. We are given that AB = 30, DA = 14, and DC = x + y.
2. Since ABCD is a rectangle, opposite sides are equal in length. Therefore, AB = DC and DA = CB.
3. Using the given information, we can set up the following equations:
   • AB = DC => 30 = x + y
   • DA = CB => 14 = x - y

Now, we have a system of equations with two variables (x and y). We can solve this system to find the values of x and y.

4. To eliminate y, we can add the two equations together: (30) + (14) = (x + y) + (x - y) 44 = 2x

5. Divide both sides of the equation by 2: 44/2 = 2x/2 22 = x

6. Now that we have the value of x, we can substitute it back into one of the original equations to find y. Using the equation 30 = x + y: 30 = 22 + y

7. Solve for y: 30 - 22 = y 8 = y

Therefore, the values of x and y are x = 22 and y = 8, respectively.