Use the image to answer the question.
A trapezoid shows the longest side measuring 6 feet and the opposite parallel side measuring 3 feet. The two legs measure 3 feet each.
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.
Given that the greatest length of the table is 1.5 feet, we know that the longest side of the trapezoid is 6 feet in real life.
If 1.5 feet is represented in the scale drawing, then the actual length of that side is:
6 feet = 1.5 feet * Scale factor
Scale factor = 6 feet / 1.5 feet = 4
Now, to find the lengths of the other sides of the table in decimal form:
3 feet * 4 = 12 feet
3 feet * 4 = 12 feet
Therefore, the lengths of the other sides of the table will be 12 feet each, which translates to 3 feet each in the scale drawing, represented as 1.5 feet.
try again.
Given that the longest side of the trapezoid is 6 feet and the scale factor is 1.5 feet, we can determine the length of the other sides of the table in the scale drawing.
If the longest side in the scale drawing is 1.5 feet and the actual longest side is 6 feet, then the scale factor is:
6 feet / 1.5 feet = 4
Now, we can find the lengths of the other sides of the trapezoid in the scale drawing:
3 feet * 4 = 12 feet
Therefore, the length of the other two sides of the trapezoidal table in the scale drawing is 12 feet, which translates to 3 feet each in the 1.5 feet scale drawing.