The size of the image is 4 inch by 6 inch
Size of the image scale up by 50%
4 in increased by 50 % = New length = x

Cross multiply, we get
100 x = 4(50)
100x = 200
Divide both side by 100, to find x
x = 200/100
x = 2
New length = original length + increased length
New length = 4 + 2 = 6 in
6 in increased by 50 % = New length = y

Cross multiply, we get
100 y = 6(50)
100y = 300
Divide both side by 100, to find y
y = 300/100
y= 3
New length = original length + increased length
New length = 6 + 3 = 9 in
So New dimensions are 6 in by 9 in