Scale Factor Word Problems

Amanda made a scale drawing of a square garden, which has a side length of 25 feet. She used the scale 2 inches = 5 feet.

What will be the area of the scale drawing?

• 10 in²

• 25 in²

• 100 in²

• 484 in²

Robbie made a scale drawing of a neighborhood park. A soccer field in the park is 14 inches long in the drawing. The actual field is 98 yards long. What is the scale of the drawing? 1 inch = _ yards

• 1372

• 5

• 14

• 7

On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.

What scale was used to create the map?

• 42 inches = 1 mile

• 1 inch = 42 miles

• 40 inches = 1 mile

• 
  1 inch = 40 miles

If a triangle with sides 3 cm, 4 cm, and 5 cm is scaled by a factor of 2, what are the lengths of the sides of the new triangle?

• 3 cm, 4 cm, 5 cm

• 6 cm, 8 cm, 10 cm

• 9 cm, 12 cm, 15 cm

• 1.5 cm, 2 cm, 2.5 cm

Tags

CCSS.MATH.CONTENT.7.G.A.1

• 4 inches by 6 inches

• 8 inches by 12 inches

• 16 inches by 24 inches

• 2 inches by 3 inches

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CCSS.MATH.CONTENT.7.G.A.1

If a circle has a radius of 5 units and is scaled by a factor of 3, what is the radius of the new circle?

• 2 units

• 5 units

• 15 units

• 8 units

Tags

CCSS.MATH.CONTENT.7.G.A.1

A map scale shows that 1 inch represents 10 miles. If a road is 50 miles long, how long is it on the map?

• 5 inches

• 10 inches

• 50 inches

• 1 inch

Tags

CCSS.MATH.CONTENT.7.G.A.1

A photograph is enlarged to twice its original width and height. What is the scale factor of this enlargement?

• 0.5

• 1

• 2

• 4

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CCSS.MATH.CONTENT.7.G.A.1

A rectangular garden measuring 30 feet by 40 feet is represented on a garden plan as 3 inches by 4 inches. What is the scale of the plan?

• 1 inch = 10 feet

• 1 inch = 20 feet

• 1 inch = 5 feet

• 1 inch = 15 feet

Tags

CCSS.MATH.CONTENT.7.G.A.1

If a scale drawing uses a scale of 1 inch = 4 feet, what is the actual length of a wall that is represented by 3 inches on the drawing?

• 7 feet

• 12 feet

• 15 feet

• 20 feet

Tags

CCSS.MATH.CONTENT.7.G.A.1