Francine has a picture whose length is 4/3 its width. she wants to enlarge the picture to have an area of 192 in2. what will the dimensions of the enlarged picture be? model the scenario and solve. then, explain in at least one sentence your solution and include the reasonableness of your solution.

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.