Length and Area in Scale Drawings Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
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.
In a trapezoid, the longest side is the base, and the other two sides are the legs.
Given:
Longest side (Base) = 6 feet
Opposite side (Base) = 3 feet
Legs = 3 feet each
Scale drawing shows the longest side (base) as 1.5 feet
Let's find the scale factor:
Scale factor = Actual length / Length in scale drawing
Scale factor = 6 feet / 1.5 feet
Scale factor = 4
Now we can find the lengths of the other sides in the scale drawing:
Opposite side in scale drawing = 3 feet / 4 = 0.75 feet
Legs in scale drawing = 3 feet / 4 = 0.75 feet
Therefore, the length of the other sides of the table in the scale drawing will be:
Opposite side (Base): 0.75 feet
Legs: 0.75 feet