Bobby draws an artwork measuring 2.25 inches by 2 inches. He makes a copy of the artwork, enlarging it so that its dimensions are now 3.15 inches by 2.8 inches. What scale factor did he use to create the copy of the original artwork? Write your answer as a decimal.(1 point)
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To find the scale factor, we need to find the ratio of the lengths of corresponding sides in the original artwork and the copy.
In the original artwork, the length is 2.25 inches and in the copy, the length is 3.15 inches.
So, the ratio is $\frac{3.15}{2.25}=\boxed{1.4}$.
Proportions & Scale Factors Practice
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3 of 5 3 of 5 Items
Question
Use the image to answer the question.
What scale factor was used to enlarge the rectangle in the image? The measurements refer to inches. Give your answer as a decimal.
(1 point)
Unfortunately, without the image, it is not possible to determine the scale factor used to enlarge the rectangle. Please provide more information or include the image so that I can assist you further.
Scale: 1 box = 3 inches
Convert this scale drawing of a bureau drawer so that it has a scale of 1 box = 6 inches. The length in the scale drawing shown is 8 boxes. What will be the length in boxes of the new scale drawing? how do I solve it
To convert the scale drawing so that 1 box represents 6 inches, we can use the concept of proportions.
The original scale is 1 box = 3 inches.
Now, we need to find out what the new scale is in terms of boxes representing 6 inches.
Let's call the new scale "x". So, the new scale will be 1 box = x inches.
To find the value of "x", we can set up a proportion using the original scale and the new scale:
$\frac{1 \text{ box}}{3 \text{ inches}} = \frac{1 \text{ box}}{x \text{ inches}}$
Cross-multiplying, we get:
$1 \text{ box} \cdot x \text{ inches} = 3 \text{ inches} \cdot 1 \text{ box}$
$x = 3$ inches
Therefore, the new scale is 1 box = 3 inches.
Now, we need to find the length in boxes of the new scale drawing.
The length in the original scale drawing is 8 boxes.
Using the new scale of 1 box = 3 inches, we can find the length in inches of the new scale drawing:
Length in inches = 8 boxes x 3 inches/box = 24 inches
Since the new scale is 1 box = 3 inches, the length in boxes of the new scale drawing will be:
Length in boxes = 24 inches / 3 inches/box = 8 boxes
Therefore, the length in boxes of the new scale drawing is 8 boxes.
To find the scale factor, we can divide the corresponding dimensions of the copy by the corresponding dimensions of the original artwork.
For the width of the copy (3.15 inches) and the width of the original artwork (2.25 inches), we have:
Scale factor = (width of copy) / (width of original artwork)
Scale factor = 3.15 inches / 2.25 inches
Simplifying this gives us the scale factor for the width: 1.4
Similarly, for the height of the copy (2.8 inches) and the height of the original artwork (2 inches), we have:
Scale factor = (height of copy) / (height of original artwork)
Scale factor = 2.8 inches / 2 inches
Simplifying this gives us the scale factor for the height: 1.4
Since the scale factor is the same for both dimensions, we can conclude that Bobby used a scale factor of 1.4 to create the copy of the original artwork.