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)
Side 1: 6ft.
Side 2: 3ft.
Side 3: 3ft
Side 4: 3ft
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If the greatest length of the table in the scale drawing is represented by 1.5 feet, and the actual length of the table is 6 feet, then we can calculate the scale factor as follows:
Scale Factor = Actual Length / Length in Scale Drawing
Scale Factor = 6 ft / 1.5 ft
Scale Factor = 4
Now that we have the scale factor, we can determine the lengths of the other sides of the table in the scale drawing:
Side 1: 6ft / 4 = 1.5ft
Side 2: 3ft / 4 = 0.75ft
Side 3: 3ft / 4 = 0.75ft
Side 4: 3ft / 4 = 0.75ft
Therefore, the lengths of the other sides of the table will be:
Side 2: 0.75ft
Side 3: 0.75ft
Side 4: 0.75ft
Side 1: 6ft
Side 2: 3ft
Side 3: 3ft
Side 4: 3ft
In scale drawing, the greatest length of the table is represented by 1.5 feet. Therefore, the ratio of the actual length to the length in the scale drawing is:
1.5/6 = 0.25
Using this ratio, we can find the lengths of the other sides:
Side 1: 6ft x 0.25 = 1.5ft
Side 2: 3ft x 0.25 = 0.75ft
Side 3: 3ft x 0.25 = 0.75ft
Side 4: 3ft x 0.25 = 0.75ft
Therefore, the lengths of the other sides of the table are:
Side 1: 1.5ft
Side 2: 0.75ft
Side 3: 0.75ft
Side 4: 0.75ft