Question

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

Answer 1

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

Answer 2

Answer:

x=22

y=8

Step-by-step explanation:

Opposite side of a rectangle are equal

x+y=30-------eqn i

x-y=14--------eqn ii

adding i and ii

2x=44

x=22

putting the value of x in eqn i

22+y=30

y=8