the area of corresponding faces of two simalar triangle prisms are 49cm squared and 121 cm squared. what is the ratio of the corresponding side lengths?

For two similar triangular prisms:

A2 / A1 = l2² / l1² = ( l2 / l1 )²

In this case:

A2 / A1 = = 121 / 49 = 11² / 7 ² = (11 / 7 )²

The ratio of the corresponding side lengths is 11 / 7