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?
5 by 3.5
0.7 by 1
To find the scale factor, we can compare corresponding sides of the two parallelograms.
In the original parallelogram on the left, the length is 5 inches and the width is 3.5 inches.
In the scaled parallelogram on the right, the length is 0.7 inches and the width is 1 inch.
To find the scale factor, we divide the corresponding measurements of the scaled parallelogram by the measurements of the original parallelogram:
Scale factor = (Length of scaled parallelogram / Length of original parallelogram) = 0.7 inches / 5 inches = 0.14
Therefore, the scale factor used by Kamla is 0.14.
the answer is 0.2, but how do I get it?
Apologies for the incorrect response earlier. To find the correct scale factor, we divide the corresponding measurements of the scaled parallelogram by the measurements of the original parallelogram:
For the length:
Scale factor = (Length of scaled parallelogram / Length of original parallelogram) = 0.7 inches / 5 inches = 0.14
For the width:
Scale factor = (Width of scaled parallelogram / Width of original parallelogram) = 1 inch / 3.5 inches = 0.2857
To find the overall scale factor, we can take the average of the scale factors for the length and width:
Scale factor = (0.14 + 0.2857) / 2 = 0.4257 / 2 = 0.2143
Therefore, the correct scale factor used by Kamla is approximately 0.2143, which can be rounded to 0.2.
To find the scale factor, we can compare the corresponding side lengths of the original parallelogram and the new parallelogram.
In this case, the original parallelogram has side lengths of 5 inches and 3.5 inches. The new parallelogram has side lengths of 0.7 inches and 1 inch.
To find the scale factor, we can divide the corresponding side lengths of the new parallelogram by the corresponding side lengths of the original parallelogram:
Scale factor = (Side length of new parallelogram) / (Side length of original parallelogram)
Scale factor for the length = 0.7 inches / 5 inches = 0.14
Scale factor for the width = 1 inch / 3.5 inches = 0.2857
Since the scale factor should be the same for both dimensions, we can take the average of the two values:
Average scale factor = (0.14 + 0.2857) / 2 ≈ 0.2129
Therefore, Kamla uses a scale factor of approximately 0.2129.