Find the values of x and y in the following rectangle


By property of rectangle,


Lengths are equal, i.e., CD = AB


So, x + 3y = 13 …(i)


Breadth are equal, i.e., AD = BC


So, 3x + y = 7 …(ii)


On multiplying Eq. (ii) by 3 and then subtracting Eq. (i), we get


3(3x + y) = 3(7)


- x + 3y = 13


8x = 8


So, x = 1


On putting x = 1 in Eq. (i), we get


y = 4


Hence, the required values of x and y are 1 and 4, respectively.


8
1