Length and Area in Scale Drawings Practice
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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.
6 ft
3 ft
3 ft
3 ft
Since the greatest length of the table is 1.5 feet in the scale drawing, and we know that the actual length is 6 feet, we can determine the scale factor by dividing the actual length by the length in the scale drawing:
6 ft / 1.5 ft = 4
Therefore, the scale factor is 4. Now we can use this scale factor to find the lengths of the other sides of the table in the scale drawing:
6 ft / 4 = 1.5 ft (greatest length)
3 ft / 4 = 0.75 ft (other two sides)
So, the length of the other two sides of the table in the scale drawing will be 0.75 feet each.