# In Figure, ABCD is a rectangle. Find the values of x and y

Linear Equations (C10)
In Figure, ABCD is a rectangle. Find the values of x and y.

### Answer

Since ABCD is a rectangle. its opposite sides are equal.

AD = BC and AB = DC

x - y = 14

x + y = 30

Solving both the equations by elimination method,

Add the equations to get

2x = 44

x = 22

Put the value of x in any equation, we get

x + y = 30

22 + y = 30

y = 8

Hence, x = 22 and y = 8