Question

In a rectangle ABCD , ab = x+3 ,bc=3y, cd=3x-7, da=2y+8. Find the values of x and y.

Answer 1

In a rectangle ABCD, AB=DC and AD=BC.
∴, x+3=3x-7
or, x-3x=-7-3
or, -2x=-10
or, x=5
Again, 3y=2y+8
or, 3y-2y=8
or, y=8
∴, x=5, y=8