The image shows a table at a restaurant in the shape of a trapezoid. The owners want to determine if trapezoid tables will fit comfortably in the rest of the dining room, They 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 be the length of the other sides of the table? Write in decimal form.
The longest side is 6 feet and the smaller sides are 3 feet.
In the scale drawing, the 1.5 feet representing the greatest length of the table corresponds to the 6 feet actual length of the longest side. Therefore, each foot in the scale drawing represents 6/1.5 = 4 feet in reality.
To find the lengths of the other sides of the table in the scale drawing:
- The 1-foot side of the table will be 4 feet in reality, so in the scale drawing it will be 4/4 = 1 foot.
- The 0.5-foot side of the table will be 2 feet in reality, so in the scale drawing it will be 0.5/4 = 0.125 feet.
Therefore, the lengths of the other sides of the table in decimal form are 1 foot and 0.125 feet.
no thats wrong
I apologize for the mistake. Let's correct it:
If the greatest length of the table is represented by 1.5 feet in the scale drawing and the actual length of the longest side is 6 feet, then we can set up a proportion to find the lengths of the other sides:
1.5 feet (scale drawing) / 6 feet (actual length) = x feet (scale drawing) / y feet (actual length)
Solving for x and y:
x = 1.5 feet * 3 feet / 6 feet = 0.75 feet
y = 6 feet * 3 feet / 6 feet = 3 feet
Therefore, the lengths of the other sides of the table in decimal form are 0.75 feet and 3 feet.