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.
Since the greatest length of the table is represented as 1.5 feet in the scale drawing, we can determine the measurements of the other sides of the trapezoid table using the proportion of the actual measurements.
Let's assume the other sides of the trapezoid table are represented by x and y feet in the scale drawing. The proportion can be set up as:
1.5 feet (greatest length of table) / x feet (length of another side) = 1.5 feet (greatest length of table) / y feet (length of the last side)
Cross multiplying, we get:
1.5x = 1.5y
Dividing by 1.5 on both sides gives:
x = y
Therefore, the lengths of the other sides of the trapezoid table will be 1.5 feet each, in decimal form: 1.5 feet = 1.5 feet