The image shows a table at a restaurant in the shape of a trapezoid. The restaurant owners want to determine if trapezoidal 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)
Let's say the other sides of the table are x feet long.
Since the greatest length of the table is represented by 1.5 feet in the scale drawing, we can set up a proportion:
1.5 feet = x feet (other side of the table)
1.5 feet / x feet = 1.5 / x
Now we know that the scale factor is:
1.5 / x = 1.5
Cross multiplying:
1.5x = 1.5
Divide by 1.5 on both sides:
x = 1
Therefore, the length of the other sides of the table will be 1 foot long.