The image shows a table at a restaurant in the shape of a trapezoid. The restaurant owners want to determine if trapezoid tables will fit comfortably into the rest of the dining room. The owners make a scale drawing of the dining room and a scale drawing of the table. If the greatest length of the table is represented in the scale drawing by 1.5 feet, what will the length of the other sides of the table be? Write your answer in decimal form. (1 point)
Imagine the base of the trapezoid was 6 ft and its other sides were 3 ft.
In a trapezoid, the side lengths are not fixed proportions like in a rectangle, so we cannot determine the exact lengths of the other sides based on just the ratio of the greatest length to the other sides.
However, if we assume the greatest length of 1.5 feet in the scale drawing corresponds to 6 feet in real life, we can determine the lengths of the other sides using the scale factor.
Scale factor = Actual length / Scale length
For the base:
Actual base length = Scale factor * Scale base length
Actual base length = 6 ft / 1.5 = 4 ft
For the other sides:
Actual other side length = Scale factor * Scale other side length
Actual other side length = 3 ft / 1.5 = 2 ft
Therefore, the length of the other sides of the trapezoid table would be 4 ft and 2 ft respectively.