Question

in fig. ABCD is a rectangle. find the values of x and y.

Answer 1

ANSWER:

Hey friend,

As we know opposite sides in rectangle are equal.
=>
x+y=30 and x-y=14
x=30-y

Solving both equation .

30-y-y=14
30-2y=14
-2y=-16
y=8

x=30-y
x=30-8
x=22

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HOPE this helps you.

Answer 2

AB = CD

and BC = AD

AB = CD

x + y = 30 ..... (1)

BC = AD

x - y = 14 .....(2)

ADD EQUATION (1) (2)

2x = 44

x = $\bf\huge\frac{44}{2}$

Substitute the value in Equation 1

22 + y = 30

y = 30 - 22

y = 8

x = 22 cm and y = 8 cm