If ABCD is a rectangle , find the values of x and y



(a) X=10,y=2
(b) X=12,y=8
(c) X=2,y=10
(d) X=20,y=0

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Since opposite sides of rectangle are equal, We can say that:
x + y = 12 ----- (i)
x - y = 8  ------ (ii)

We get 2 simultaneous equations. We can add (i), (ii)

    x + y = 12 
+ (x - y = 8)
-----------------
2x = 20, x = 20/2=10

Substitute x in (ii)

10 - y = 8
y = 10 - 8 = 2

So x = 10, y = 2
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