Name: Date: Sheet # 02 - 19 Ratios and Proportions Scaled ... · 8 inches wide using a photocopier....

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Name: ____________________________ Date: ________ Ratios and Proportions Scaled Drawings Practice PreAlgebra 1 What is the actual height of the building at its tallest point? A 1.4 m C 11.2 m B 9.6 m D 22.4 m 2 The height of the scale drawing of a floor lamp shown below is 8 centimeters. Scale: 2 cm = 1 ½ ft What is the height of the actual floor lamp? A 4 ½ ft B 6 ft C 10 3 2 ft D 12 feet 3 Mario reduced a picture that is 10 inches long by 8 inches wide using a photocopier. The reduced picture is now 6 inches long. By what scale factor did the photocopier reduce the picture? A 5 3 B 4 3 C 3 4 D 3 5 4 A model airplane is built to the scale 1 inch = 5 feet. If the model has a wingspan of 8.4 inches, what is the actual wingspan of the plane? A 42 in. B 17 ft C 42 ft D 420 ft 5 The diagram shown on the coordinate grid below is a scale drawing of the side of Jessica’s house. The scale unit is 1 unit = 4 feet. Which of the following shows the side of Jessica’s house drawn with a scale of 1 unit = 8 feet? Sheet # 02 - 19

Transcript of Name: Date: Sheet # 02 - 19 Ratios and Proportions Scaled ... · 8 inches wide using a photocopier....

Page 1: Name: Date: Sheet # 02 - 19 Ratios and Proportions Scaled ... · 8 inches wide using a photocopier. The reduced picture is now 6 inches long. By what scale factor did the photocopier

Name: ____________________________ Date: ________

Ratios and Proportions – Scaled Drawings Practice PreAlgebra

1 What is the actual height of the building at its

tallest point?

A 1.4 m C 11.2 m

B 9.6 m D 22.4 m

2 The height of the scale drawing of a floor lamp

shown below is 8 centimeters.

Scale: 2 cm = 1 ½ ft

What is the height

of the actual floor

lamp?

A 4 ½ ft

B 6 ft

C 10 3

2ft

D 12 feet

3 Mario reduced a picture that is 10 inches long by

8 inches wide using a photocopier. The reduced

picture is now 6 inches long. By what scale factor

did the photocopier reduce the picture?

A 5

3

B 4

3

C 3

4

D 3

5

4 A model airplane is built to the scale 1 inch = 5

feet. If the model has a wingspan of 8.4 inches,

what is the actual wingspan of the plane?

A 42 in.

B 17 ft

C 42 ft

D 420 ft

5 The diagram shown on the coordinate grid below

is a scale drawing of the side of Jessica’s house.

The scale unit is 1 unit = 4 feet.

Which of the following shows the side of Jessica’s

house drawn with a scale of 1 unit = 8 feet?

Sheet # 02 - 19

Page 2: Name: Date: Sheet # 02 - 19 Ratios and Proportions Scaled ... · 8 inches wide using a photocopier. The reduced picture is now 6 inches long. By what scale factor did the photocopier

6 Beth drew a scale drawing of a sailboat. What is

the actual height of the sail? [Measure the drawing

to the nearest 8

1inch]

A 8

15 ft C

8

115 ft

B 8

510 ft D

9

222 ft

7 The model of a boxcar is 2

112 inches long. The

actual boxcar is 50 feet long. What scale was used

to make the model?

A 4 in = 1 ft

B 1 in = 6.25 ft

C 2

1in = 5 ft

D 1 in. = 4 ft

8 What are the actual dimensions of the study area?

A 5 m × 3 m

B 35 m × 20 m

C 10 m × 20 m

D 2 m × 7 m

9 A photograph of a painting measures 13 units by

17 units. If the scale factor is3

1, what is the actual

size of the painting?

A 26 × 34

B 39 × 51

C 4.3 × 5.7

D 169 ×289

10 On a scale drawing with a scale of80

1, the height

of a building is 9.75 inches. How tall is the actual

building?

A 65 feet

B 80 feet

C 780 feet

D 9,360 feet

11 A model of a shopping mall shows an entrance

that is 75 cm wide. The actual entrance is 3,750

meters wide. Based on the scale drawing, what is

the real-world value of 1 cm in meters?

Answer ___________

12 You are working as an assistant to a photographer.

The photographer has asked you to answer the

following question.

A customer brought in a photograph that is 5

inches wide by 7 inches high. The customer wants

the photograph enlarged to a photograph that is 15

inches wide and 20 inches high.

Explain why this cannot be done without cropping

the picture.

Page 3: Name: Date: Sheet # 02 - 19 Ratios and Proportions Scaled ... · 8 inches wide using a photocopier. The reduced picture is now 6 inches long. By what scale factor did the photocopier

Name: ____________________________ Date: ________

Ratios and Proportions – Scaled Drawings Practice PreAlgebra

13 A floor plan for a new home is shown above

where ½ inch represents 3 feet in the actual home.

Part A If the contractor is going to put up crown molding

around the kitchen, how many feet of crown molding will

he buy?

Show your work.

Answer ___________ feet

Part B The contractor needs to order the floor tiles for the

kitchen. How many square feet of tiling should he order?

Show your work.

Answer ___________ square feet

Part C How many square feet of flooring will be needed

for the hallway?

Show your work.

Answer ___________ square feet

Part D The buyer of the home has requested bamboo

flooring for the hallway. If the bamboo wood planks are

sold at $2.19 per square foot, how much will it cost for the

flooring in the hallway?

Show your work.

Answer $___________

14 Ms Bisal is redecorating her room. She measured

the room to be 18’ × 12’.

She used the scale 1 unit = 2 feet to create a scaled

drawing of her room on the grid below.

Part A Ms. Bisal wrote down the dimensions of some furniture

she would like to place in the room. Draw these items onto Ms.

Bisal’s scale drawing to show her where these items will fit.

Loveseat: 6’ × 3’

Bookcase: 7’ × 2’

Desk: 4’ × 2’

Part B Ms. Bisal drew her television stand onto the scale

drawing. The dimensions on the drawing were 3 units by .75

units. What are the actual dimensions of the television stand?

Show your work.

Answer ________ft by ________ft

Sheet # 02 - 20

Page 4: Name: Date: Sheet # 02 - 19 Ratios and Proportions Scaled ... · 8 inches wide using a photocopier. The reduced picture is now 6 inches long. By what scale factor did the photocopier

15 Measure the dimensions of a room in your home and at least 3 objects in the room. Create a scale drawing of this

room on the grid below.

Scale: 1 unit = ______ feet

Object 1: __________________ dimensions: _________________

Object 2: __________________ dimensions: _________________

Object 3: __________________ dimensions: _________________

Object 4: __________________ dimensions: _________________

Object 5: __________________ dimensions: _________________

This Page is extra credit!!! The more detailed your scale drawing the better.

Print an actual photo of the room to go along with the scale drawing.