Scale Factor and Area

If the scale factor is 4, what is the measurement of x?

• 20 m

• 24 m

• 16 m

• 4 m

Answer explanation

Given a scale factor of 4, if x is the original measurement, then x multiplied by 4 gives the new measurement. To find x, divide the new measurement (96 m) by 4, resulting in x = 24 m.

Tags

CCSS.7.G.A.1

What is the scale factor?

• 4

• 1/4

• 20

• 5/4

Answer explanation

The scale factor is the ratio of the dimensions of a model to the dimensions of the actual object. In this case, the correct scale factor is 4, indicating that the model is 4 times larger than the actual object.

Tags

CCSS.7.G.A.1

If the scale factor is less than one, the new figure will be

• an enlargement

• a reduction

• a scale factor

• bigger

Answer explanation

If the scale factor is less than one, it means the dimensions of the figure are being reduced. Therefore, the new figure will be a reduction, not an enlargement or bigger.

Tags

CCSS.8.G.A.3

If the scale factor is greater than one, the new figure will be

• a reduction

• an enlargement

• a scale

• not proportional

Answer explanation

If the scale factor is greater than one, it means the dimensions of the figure are increasing. Therefore, the new figure will be an enlargement, as it is larger than the original figure.

Tags

CCSS.8.G.A.3

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

Answer explanation

The scale factor from ΔDEF to ΔABC is found by comparing corresponding side lengths. If the sides of ΔDEF are half the length of those in ΔABC, the scale factor is 1/2, making it the correct choice.

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

Colin's scale factor for his drawing was 10. Colin will need to ​ ​ (a)   the original area with the square of the ​ ​ (b)   to find the area of his room.

• divide

• add

• subtract

• height

• base

• multiply
• scale factor

Answer explanation

Colin's scale factor is 10, meaning he must multiply the drawing's length and width by this scale factor to find the actual dimensions of his room.

Tags

CCSS.7.G.A.1

A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7. What are the side lengths of the scaled copy?

• 5 and 10

• 14 and 21

• 5 and 7

• 9 and10

Answer explanation

To find the side lengths of the scaled rectangle, multiply each original side by the scaling factor of 7. Thus, 2 inches becomes 14 inches and 3 inches becomes 21 inches. The correct answer is 14 and 21.

Tags

CCSS.7.G.A.1

Each inch in the picture represents 8 feet on the actual square shaped flag. What is the area of the actual flag?

Answer explanation

Each inch represents 8 feet, so for a square flag, if the side is 3 inches, the actual side is 3 x 8 = 24 feet. The area is 24 ft x 24 ft = 576 ft². However, if the side is 12 inches, the area is 12 x 8 = 96 ft, and 96 ft x 96 ft = 9216 ft². The correct area is 144 ft².

Tags

CCSS.7.G.A.1

What SCALE FACTOR is used to reduce the top rectangle (6x12) to the bottom rectangle (2x4)?

• 3

• 12

• 1/3

• 1/12

Answer explanation

To find the scale factor of 3, divide the original area by the scaled area. The square root of that quotient is the Scale Factor.

Tags

CCSS.7.G.A.1

What is the scale factor?

• 1

• 2

• 3

• 4

Answer explanation

The scale factor is the ratio of the size of an object in a model to its actual size. In this case, the correct scale factor is 3, indicating that the model is three times larger than the actual object.

Tags

CCSS.7.G.A.1