1. Mr. Roberts has a golf poster that is 10 inches longer than it is wide. It is mounted in an exquisite artificial plastic frame with a uniform width of two inches. If the area of the frame is 224 square inches, what is the length of his poster?
2.A house has two rooms of equal area. One room is square while the other is a rectangle with one side eight feet longer and the other six feet shorter than the square room. What is the area of each room?
3.A square photo has 3 inches trimmed from the left side and 5 inches from the bottom. The resulting rectangular photo has an area 97 square inches less than the original area. What are the dimensions of the new rectangular photo?
4. An athletic field’s length is 30 yards less than three times its width. It is surrounded by a track that is ten yards wide. If the perimeter of the field is 340 yards, find the area of the track (yellow in the illustration). Give an exact answer in terms of pi.
