Question

if abcd is a rectangle find x and y..ab=30cm,bc=x-y cd= x+y da=14cm

Answer 1

In a rectangle, opposite sides are equal.
So,  ab=cd
   or,30=x+y
   or,x+y=30-----------(i)
Likewise,
        bc=da
     or,x-y=14-----------(ii)
Now,Solving eq. (i) & (ii):
       x+y=30
        x-y=14
______________
      or,2x=34
      or, x=34/2
       ∴ x=17
Then, in eq. (i):
             x+y=30
          or,17+y=30
          or, y=30-17
           ∴ y=13