AnswersAZ-Common Core Algebra II APrecision in Measurement

Scale Factor Answers

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Beth is designing a card. She brings to a print shop a drawing that is 6 inches by 3 inches, and asks them to print the card after applying a scale factor of . When she returns to the print shop, they hand her a box of cards, each of which is 9 inches by 13 inches, which is incorrect.What should be the correct dimensions of the card?

Question illustration
A
The scale factor is a reduction, and the new card should be 4 in x 2 in.
B
The scale factor is a reduction, and the new card should be 4 in x 6 in.
C
The scale factor is for an enlargement, and the print shop created the right size card.
D
The scale factor is for an enlargement, but the print shop should have made the card 9 in by 6 in.
2
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Aanya made a scale drawing of a picture. The original dimensions of the picture are 8 inches by 12 inches. Which choice shows a possible combination for the dimensions in Aanya’s drawing?

A
3 inches by 4 inches
B
6 inches by 9 inches
C
16 inches by 36 inches
D
24 inches by 32 inches
3

The triangle represents a scale drawing that was created by using a factor of . Which is true of the measures of the sides of the original triangle?

Question illustration
A
Each side of the original triangle is the length of each side of the scale drawing.
Option A
B
Each side of the original triangle is 2 times the length of each side of the scale drawing.
C
Each side of the original triangle is the same length as each side of the scale drawing.
D
Each side of the original triangle is 2 inches shorter than the scale drawing.
4

Which rectangle is an enlargement of a 5 by 6 rectangle?RectangleABCDWidth10152560Length11183660

A
A
B
B
C
C
D
D
5

The diagram represents an enlargement of a rectangle by a scale factor of 4. What are the dimensions of the enlarged rectangle?

Question illustration
A
1 inch by inch
Option A
B
8 inches by 6 inches
C
16 inches by inch
Option C
D
16 inches by 8 inches
6

Fabian used a ratio table to show the original dimensions of a rectangle and the dimensions when the rectangle is changed by a scale factor. He forgot to enter the length of the new rectangle.Scale factor12.5Width615Length9 Which length is missing from Fabian’s table?

A
3.6
B
11.5
C
21.6
D
22.5
7

A scale drawing is made to enlarge a picture by using a scale factor of 3. The enlarged picture is 9 inches by 15 inches. What are the dimensions of the original picture?

A
3 inches by 5 inches
B
3 inches by 15 inches
C
6 inches by 12 inches
D
27 inches by 45 inches
8

Yuron is sketching a scale drawing of a famous painting. The painting is 54 inches wide and 72 inches long. He used a scale factor of to make his sketch. How many inches wide is Yuron’s sketch?

Question illustration
A
36
B
48
C
81
D
84
9

A scale drawing of a rectangle is made by using a scale factor of . The original and the scale drawing are shown below.[Not drawn to scale]Which method can be used to find the dimensions of the original rectangle?

Question illustration
A
inches and inches
Option A
B
inches and inches
Option B
C
inches and inches
Option C
D
inches and inches
Option D
10

Enzo is making a scale drawing of the rectangle below. Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct?

Question illustration
A
Enzo is correct because he used a factor of 2 to enlarge the rectangle.
B
Enzo is correct because he doubled one dimension and added the two lengths to get the other dimension.
C
Enzo is not correct because the enlarged rectangle should be 16 centimeters by 5 centimeters.
D
Enzo is not correct because he did not multiply the length and width by the same factor.

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