Scale Drawings
Map Scales
Actual Area from a Scale Drawing
Scaled Copies and Scale Factors
Mixed Review
100
A scale drawing of a rectangular garden uses a scale of 1cm = 3 feet. The drawing is 6.5cm long and 4 cm wide.
What are the actual dimensions of the garden?
19.5 ft by the 12 ft
100
A map uses a scale where 3 centimeters represents 12 kilometers.
What distance on the map represents an actual distance of 20 kilometers?
5 centimeters
100
A scale drawing of a rectangular park is 4 inches wide and 9 inches long. The actual park is 180 yards long. What is the area of the actual park?
14,000 square yards
100
Triangle A has side lengths 5 units, 7 units, and 9 units. Triangle B is a scaled copy of Triangle A. The side corresponding to 5 units is 20 units.
What scale factor was used to create Triangle B?
4
100
A scale model of a building uses a scale where 2 inches represents 10 feet. The actual building is 85 feet tall.
What is the height of the scale model?
17 inches
200
A student makes a scale drawing of a rectangular room. The actual length of the room is 14 2/3 ft. The scale is 1/4 inch = 1 foot.
What is the length of the room on the drawing, in inches? Show your work.
3 2/3 inches
200
A map uses a scale where 3 centimeters represents 12 kilometers.
What actual distance is represented by 7.5 centimeters on the map?
30 kilometers
200
A scale drawing of a rectangular classroom is 3.5 inches wide and 5 inches long. The actual classroom is 40 feet long.
What is the actual area of the classroom?
1,120 square feet
200
Figure A is scaled by a factor of 6 to create figure B. One side length on Figure A is 8 feet. What is the corresponding side length on Figure B?
48 feet
200
A scale drawing has a scale of 16. The model length is 7.5 units. What is the actual length?
120 units
300
A scale drawing of a pool is 8 inches long and 5 inches wide. The actual length of the pool is 48 feet.
What is the actual width of the pool?
30 feet
300
The distance between two towns on a map is 6.25 centimeters. The map uses a scale where 1 centimeter represents 18 kilometers.
What is the actual distance between the two towns?
112.5 km
300
A student says:
"The scale factor from Figure A to Figure B is 3. If one side of Figure B is 21 units, then the matching side of Figure A is 63 units".
Explain the students' mistake. Then find the correct side length in Figure A.
The student multiplied instead of dividing. Since Figure B is 3 times Figure A, divide 21 by 3.
Correct side length: 7 units.
300
A rectangle has actual dimensions of 84 units by 36 units. In a scale drawing, the longer side is 7 units.
What is the shorter side in the scale drawing?
3 units
400
A treasure map uses a scale where 1 inch represents 30 feet. The distance between the treasure chest and the cave on the map is 4.75 inches.
What is the actual distance between the treasure chest and the cave?
142.5 feet
400
Quadrilateral WXYZ is a scaled copy of quadrilateral ABCD. The scale factor from ABCD to WXYZ is 2.5. Which statements must be true?
A. Each side length in WXYZ is 2.5 times the corresponding side length in ABCD.
B. Each angle in WXYZ is 2.5 times the corresponding angle in ABCD.
C. If a side in ABCD is 6 units, the corresponding side in WXYZ is 15 units.
D. If a side in WXYZ is 20 units, the corresponding side in ABCD is 8 units.
E. WXYZ has the same shape as ABCD but a different size.
A, C, D, E