Question 1096213
i believe the ratio of the sides will be 100/75 = 4/3.


the ratio of the area should therefore be 4^2 / 3^2 = 16/9.


if that's true, then the area of the larger triangle should be 20 * 16 / 9 = 35.56 rounded to 2 decimal places.


i checked the web and found it to be true.


here's a reference.


<a href= "https://www.cliffsnotes.com/study-guides/geometry/similarity/similar-triangles-perimeters-and-areas" target = "_blank">https://www.cliffsnotes.com/study-guides/geometry/similarity/similar-triangles-perimeters-and-areas</a>


i checked this out with an example and it is proven to be correct.


if the ratio of the perimeter is 4/3, then the ratio of the area is (4/3)^2 = 16/9.