Question 1176153
if the increase is 200%, then all dimensions of the original photo will be 2 times as large as they once were, except for the area.
that will be 2^2 = 4 times as large,
however, the square root of the area will be 2 times as large.


for example:


the picture is 3 by 4.
the area would be 3 * 4 = 12
th4e diagonal would be sqrt(3^2 + 4^2) = sqrt(25) = 5


you enlarge the photo by 200%.


the new picture is 6 by 8.
the new area would be 6 * 8 = 48.
the new diagonal would be sqrt(6^2 + 8^2) = sqrt(100) = 10


the length and the width and the diagonal were increased by a factor of 2.
the are was increased by a factor of 2^2 = 4.


howevver, the square root of the area was increased by a factor of sqrt(4) = 2, same as the dimensions.


this is the same concept of similar triangle you may have leaned in geometry, and of similar polygons you may also have leaned.


here's a reference.


<a href = "https://mathbitsnotebook.com/Geometry/Similarity/SMArea.html#:~:text=If%20two%20polygons%20are%20similar%2C%20the%20ratio%20of%20their%20areas,surface%20%22area%22%20measurement.)" target = "_blank">https://mathbitsnotebook.com/Geometry/Similarity/SMArea.html#:~:text=If%20two%20polygons%20are%20similar%2C%20the%20ratio%20of%20their%20areas,surface%20%22area%22%20measurement.)</a>