Question

in fig1 abcd is a rectangle find the value of x and y

Answer 1

Given:
AB =30 cm, AD= 14 cm
In rectangle opposite sides are equal.
AB = CD & BC = AD
x+y = 30.................(1)
x - y = 14.................(2)
On Adding eq 1 & 2
x+y + x - y = 30 +14
2x = 44
x = 44/2
x = 22 cm
Put the value of x= 22 in eq 1
x + y = 30
22 + y = 30
y = 30 - 22
y = 8 cm

Hence, the value of x = 22 cm & y= 8 cm.

HOPE THIS WILL HELP 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