The purpose of this activity is to understand what an aspect ratio is and how to use this concept along with the Pythagorean Theorem to solve problems. 

The purpose of this discussion is for students to see different strategies for solving the fourth question of the problem. Invite students to share their solutions. If not brought up in students’ explanations, here are some possible solution strategies:

• Solve the equation , where represents the length in inches of one of the “pieces” in the diagram. is , which can be multiplied by 3 and 4 to find the side lengths.
• Scale the 6 and 8 found previously by a factor of since this triangle would be similar to the triangle formed in the third question.
   

In this activity, students solve an application problem that requires an understanding of aspect ratio, the Pythagorean Theorem, and the realization that a good way to compare the sizes of two screens is to compare their areas. 

Monitor for students using different approaches and strategies. Students may benefit from more time to think about this problem than is available during a typical class meeting.

The purpose of this discussion is to give students the opportunity to present their solution. Invite students to share their ideas and progress with the class. If appropriate, students may benefit from an opportunity to clearly present their solution in writing.