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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5 answers

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.