Answer:
12 in wide by 16 in high
Step-by-step explanation:
Let w represent the width of the enlarged picture. Then the height is (4/3)w, and the area is the product of width and height:
... area = width × height
... 192 in² = w × (4/3)w . . . . substitute the given information
... 192 in² = (4/3)w² . . . . . . . simplify
... 144 in² = w² . . . . . . . . . . . multiply by 3/4
... 12 in = w . . . . . . . . . . . . . .take the square root
... height = (4/3)w = (4/3)(12 in) = 16 in
