Find the values of x and y in the following rectangle

Explanation

By property of rectangle),
Lengths are equal, i.e., `" " CD=AB`
`rArr " " x+3y=13 " " ...(i)`
Breadth are equal, i.e., `" " AD=BC `
`rArr " " 3x+y=7 " " ...(ii)`
On multiplying Eq. (ii) by 3 and then subtracting Eq. (i) , we get
`{:(9x + 3y = 21),( ul(underset(-)x+underset(-)3y=1underset(-)3)),(8x " "=8):}`
`" " x=1`
On putting x =1 in Eq. (i), we get
`3y=12 rArr y=4`
Hence, the required values of x and y are 1 and 4, respectively.