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.
To determine the length of the other sides of the table in decimal form, we need to use the scale factor provided. If the greatest length of the table is represented as 1.5 feet in the scale drawing, then we can use this information to find the lengths of the other sides.
Let's assume that the actual length of the greatest side of the table is L feet. The scale factor can be calculated as actual length/scale length. Therefore, the scale factor = L/1.5.
Let's say the other sides of the table are represented as x feet and y feet in the scale drawing. Therefore, we can write the following proportions:
x/L = x/1.5 = scale factor
y/L = y/1.5 = scale factor
From the given information, we can find the value of x and y. For x:
x/1.5 = L/1.5
x = L
For y:
y/1.5 = L/1.5
y = L
Therefore, the length of the other sides of the table will be the same as the greatest length, which is 1.5 feet. So, the lengths of all sides of the table in decimal form are:
1.5 feet