Question

Question 1(Multiple Choice Worth 2 points)

(Scale Factor MC)

A toy company is building dollhouse furniture. A rectangular door of a dollhouse has a height of 7 centimeters and a width of 3 centimeters. What is the perimeter of the door on a scale drawing that uses the scale 3:5?

33 cm
20 cm
14 cm
12 cm
Question 2(Multiple Choice Worth 2 points)
(Scale Factor MC)

A picture is 7 inches wide and 9 inches long. A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long. What scale factor was used to enlarge the picture?

9 over 7
7 over 9
31.5 over 7
7 over 31.5
Question 3(Multiple Choice Worth 2 points)
(Scale Factor LC)

Figure 1 and figure 2 are right triangles.

two right triangles labeled figure 1 and figure 2, where the legs of figure 1 are 3 units long and the legs of figure 2 are 4 units long

What scale factor was used to produce Figure 2 from Figure 1?

3
4
3 over 4
4 over 3
Question 4(Multiple Choice Worth 2 points)
(Scale Factor MC)

A triangle with a perimeter of 24 meters was created from a triangle with a perimeter of 3 meters using a scale factor. What is the scale factor?

8:1
28:1
32:1
72:1
Question 5(Multiple Choice Worth 2 points)
(Scale Factor MC)

A rectangular flag is 80 centimeters by 92 centimeters. What are the dimensions of a scale drawing of the flag using the scale 1:4?

20 cm by 23 cm
320 cm by 360 cm
8 cm by 9.2 cm
1.15 cm by 4.35 cm
Question 6 (Essay Worth 4 points)
(Scale Factor HC)

A rectangular oil painting is 14 inches wide and 24 inches long. A museum wants to create a larger print of the painting using a scale factor of 3.

Part A: What are the dimensions of the print, in feet? Show every step of your work. (2 points)

Part B: What is the area of the print, in square feet? Show every step of your work. (2 points)

Answer 1

Question 6

Part A: What are the dimensions of the print, in feet?

To find the dimensions of the print, we need to multiply the dimensions of the original painting by the scale factor of 3.

First, convert the dimensions of the original painting from inches to feet:

14 inches * (1 foot / 12 inches) = 1.17 feet
24 inches * (1 foot / 12 inches) = 2 feet

Next, multiply the dimensions of the original painting by the scale factor of 3:

1.17 feet * 3 = 3.51 feet
2 feet * 3 = 6 feet

So the dimensions of the print are 3.51 feet by 6 feet.

Part B: What is the area of the print, in square feet?

The area of the print can be found by multiplying the length by the width:

3.51 feet * 6 feet = 21.06 square feet

So the area of the print is 21.06 square feet.