Apicture has a height that is 4/3 its width. it is to be enlarged to have an area of 192 square inches. what will be the dimensions of the enlargement?

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

step-by-step explanation:

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