Kamla draws the parallelogram on the left and then uses a scale factor to create the parallelogram on the right. All measurements are in inches. What scale factor does he use?
the parallelogram on the left is 3.5 inches wide and 5 inches tall.
the parallelogram on the right is 1 inch wide and 0.7 inches tall.
To find the scale factor, we need to compare the corresponding side lengths of the two parallelograms.
For the width, we have a decrease from 3.5 inches to 1 inch. This means the width has been reduced by a factor of 3.5/1 = 3.5.
For the height, we have a decrease from 5 inches to 0.7 inches. This means the height has been reduced by a factor of 5/0.7 ≈ 7.14.
Since we want a single scale factor, we can take the average of these two ratios: (3.5 + 7.14)/2 ≈ 5.32/2 ≈ 2.66.
Therefore, Kamla uses a scale factor of approximately 2.66.
that isnt an answer
Apologies for the confusion. To find the scale factor, we can compare the ratios of corresponding side lengths.
The width ratio is given as 3.5/1 = 3.5.
The height ratio is given as 5/0.7 = 7.14.
As we want a single scale factor, we can take the average of these ratios: (3.5 + 7.14)/2 = 10.64/2 = 5.32.
Therefore, Kamla uses a scale factor of 5.32.
that is also not an answer
Apologies for the confusion. Let's calculate the scale factor correctly.
To find the scale factor, divide the corresponding side lengths of the two parallelograms.
Width scale factor = 1 inch / 3.5 inches = 0.286.
Height scale factor = 0.7 inches / 5 inches = 0.14.
Thus, Kamla uses a scale factor of 0.286 for the width and 0.14 for the height to create the parallelogram on the right.
There seems to be a typo in the problem statement.
If the drawings are similar the ratio of heights is the same as the ratio of widths.
Thank you for pointing out the error. If the drawings are similar, then the ratio of heights is the same as the ratio of widths.
So, the scale factor would be 1 inch / 3.5 inches = 0.286.
Therefore, Kamla uses a scale factor of approximately 0.286 to create the parallelogram on the right.
no 3.5 / 1 is not 5 / 0.7
these are not similar figures. Scale ratio is undefined.