Question

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?

a. 0.2
b. 5
c. 3.5
d. 4

Answer 1

The scale factor used by Kamla is 2.

Step-by-step explanation:

To find the scale factor, we need to compare the lengths of corresponding sides of the two parallelograms.

Let's compare the length of one side of the original parallelogram to the corresponding side of the scaled parallelogram. The original parallelogram has a side length of 6 inches, and the scaled parallelogram has a corresponding side length of 12 inches.

The scale factor can be found by dividing the corresponding side lengths: 12 inches ÷ 6 inches = 2.

Therefore, the scale factor Kamla used was 2.

Answer 2

Without the specific dimensions of Kamla's parallelograms, we cannot definitively determine the scale factor used. However, to find a scale factor when the dimensions are known, set up a proportion and solve for the missing dimension, converting units as needed.

Step-by-step explanation:

The information given in the question does not clearly state what the dimensions or distances of the parallelograms are, so we cannot determine the scale factor Kamla used based on the provided details alone. However, we can discuss how to determine a scale factor when the needed details are given. Take, for example, the given scenarios below.

For Madeline's model boat, if the actual boat is 24 feet long and the scale factor is 1/36, then to find the length of the model in inches, you multiply the actual length by the scale factor and then convert feet to inches (since there are 12 inches in a foot). The calculation would be: 24 feet * 1/36 * 12 inches/foot = 8 inches.

If the scale factor changed to 1/72, then using the same method, the length of the model would be: 24 feet * 1/72 * 12 inches/foot = 4 inches.

For Josh's scale drawing of the metal pipe of 2.5 meters using a scale factor of 1/100, the length of the drawing in centimeters is: 2.5 meters * 100 cm/meter * 1/100 = 2.5 centimeters.

When Sydra makes a scale drawing of a housefly with an actual length of 8 millimeters using a scale factor of 10, the drawing's length would be 8 mm * 10 = 80 millimeters. To convert this to centimeters, divide by 10, so the length is 8 centimeters.

To solve the other examples, use the following method:

1. Set up a proportion based on the given scale factor and actual dimensions.
2. Solve the proportion to find the missing dimension in either the scale model or actual object.
3. If necessary, convert units mindfully to maintain accuracy.