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Lesson 1 Homework Practice Scale Drawings Answers For Interview

Kenneth S.

Mesa, AZ

Above are two different models of the same triangle. If the area of the model on the left is 23 sq cm, what is the area of the model on the right?

Above are two different models of the same triangle. If the area of the model on the left is 23 sq cm, what is the area of the model on the right? A. 92 sq cm B. 25.5 sq cm C...

Feb 7 | Chase from Reading, PA | 1 Answer | -1 Votes

Scale Drawings

Emily M.

Ossining, NY

A scale on a hiking map shows that 3 inches=1.25 miles what number on the map represents 10 actual miles

This is a really hard topic for me to understand.

Feb 9 | Marissa from Auburn, IN | 1 Answer | 0 Votes

Scale DrawingsMathMath Help

Bobosharif S.

Fort Myers, FL

What number of actual kilometers are represented by 17.5 centimeters on the map

A scale on a map shows that 2.5 centimeters=15 kilometers 

Jan 15 | Celeste from Reynoldsburg, OH | 1 Answer | 0 Votes

Scale Drawings

Henry I.

Vancouver, WA

Marie has a small copy of a painting. her copy has dimensions 2 inches by 1.5 inches. the scale copy is 1 in.:40cm.

Marie has a small copy of a painting. her copy has dimensions 2 inches by 1.5 inches. the scale copy is 1 in.:40cm. What is the area of the original, dimensions of the original in centimeters AND...

Jan 11 | Jemmeferson from Tampa, FL | 1 Answer | 0 Votes

Scale Drawings

Kenneth S.

Mesa, AZ

Two particular eruptions took place 13 kilometers apart. This distance is represented on the map by a distance of 91 centimeters. What scale does the map use?

Write your answer in simplest form using whole numbers

Nov 30 | Hamde from Bessemer, AL | 1 Answer | 0 Votes

Scale Drawings

Mark M.

Carson, CA

I have a drawing that is 7.2 cm tall. I need to find what scale I should use to make it 5 feet tall. My answer has to be cm:ft please help

original word problem is Cate drew an image of an animal she wants to create.  She said that it would obviously be bigger than the drawing because she used a scale of 1cm : 13 inches.  The...

Nov 26 | Bea from Naugatuck, WV | 1 Answer | 0 Votes

Scale DrawingsNo answers ... yet!

I wish to place 25 kiwifruit in a tessellated array of pockets in a 5 x 5 layout and I need to create a mathmatical equation that defines the centres of each.

Area of the array is 462 x 282mm The overall pocket dimensions are 80 x 58mm The pocket shape has a 29mm radius at each end and a straight section measuring 22mm long on each of the 80mm long...

Sep 19 | Miles from Dixon, CA | 0 Answers | 0 Votes

MathematicsGeometric SeriesScale Drawings

Andrew M.

Palm Bay, FL

what is the actual length of the living room if the drawing let his 5 inches and the scale is 1/2= 1 1/2

for math class don't know how to do problem

May 4 | Gracia from Boone, IA | 1 Answer | 0 Votes

MathMath HelpScale DrawingsNo answers ... yet!

a scale drawing of an automobile has a scale of 1 in = 1/2. the actual width of the car is 8 ft. what is the width on the scale drawing

a scale drawing of an automobile has a scale of 1 in = 1/2. the actual width of the car is 8 ft. what is the width on the scale drawing

3/4/2017 | Gabby from Charles Town, WV | 0 Answers | 0 Votes

Scale Drawings

Dr. Sherif N.

Westminster, MD

If 1 3/4 inch = 17 1/12 feet, then how much of 1 inch = 1 foot

Trying to figure out the dimensions of a hallway in a poorly provided blue print. The only dimensions provided are the living room and kitchen size.

Scale DrawingsRatios And Proportions

David W.

Round Rock, TX

A scale drawing for a rectangular parking lot measures 6.8 cm by 12.3 cm. The scale is 5 cm:25 m. Find the area of the parking lot.

Parking lot measures 6.8 by 12.3 The scale is 5:25

Mar 16 | Bailey from Mount Laurel, NJ | 1 Answer | 0 Votes

Scale Drawings

Danny T.

Ashburn, VA

Im stuck on this scale question!

The length between the bases on a major league base ball diamond is 90 feet. Alvin wants to make a scale drawing of it.if the bases are 2 1/2 inches apart on his scale drawing, what is alvins scale...

3/2/2017 | Allora from Lexington, KY | 1 Answer | 0 Votes

Scale DrawingsMathMath Help

Mark M.

Carson, CA

A model length of 12 cm represents an actual length of 102 ft. What is te scale for the model? ( 1 inch = _____ cm)

My question asks what the proportion of the model would be in the sentence. The scale says it must be 1 inch = ___ cm, but the inches are greater than the cm.

2/6/2017 | Evie from Williamsburg, VA | 1 Answer | 0 Votes

Scale DrawingsNo answers ... yet!

the Dining Room is 4 inches what is the actual length of it

just for the test help please

3/21/2016 | Carl from Ladson, SC | 0 Answers | 0 Votes

Scale Drawings

MICHAEL C.

Jersey City, NJ

The actual room is 16 feet long. If the room is 12 inches long in the drawing, what is the scale of the drawing?

Kevin drew a scale drawing of his living room  The actual room is 16 feet long  If the room is 12 inches long in the drawing, what is the scale of the drawing?  

12/9/2016 | Candace from La France, SC | 1 Answer | 0 Votes

Scale DrawingsNo answers ... yet!

the courthouse is the tallest building in the city. if it is 7 1/2 inches tall in the model, how tall is the actual building?

just for the test help please

3/21/2016 | Carl from Ladson, SC | 0 Answers | 0 Votes

ArchitectureScale DrawingsNo answers ... yet!

the living room is 5 inches what is the actual length

                         drawing length   actual Length Living Room         5 inches      ...

3/21/2016 | Carl from Ladson, SC | 0 Answers | 0 Votes

Scale Drawings

Mark M.

Carson, CA

What are the dimensions of a 15 foot by 10 foot room on a blueprint with a scale of 1.5 inches:2 feet?

Scale Drawing Word Problem

5/2/2016 | Dani from Arvada, CO | 1 Answer | 0 Votes

Scale Drawings

Alan G.

Carrollton, TX

A model of a skyscraper is made using a scale of 1 inch:75 feet. What is The height of the actual building if the height of the model is 19 2/5

A model of a skyscraper is made using a scale of 1 inch:75 feet. What is The height of the actual building if the height of the model is 19 2/5

3/8/2016 | Dylan from Chicago, IL | 1 Answer | 0 Votes

Scale Drawings

Eugene E.

Naperville, IL

geometry question

  Let triangle ABC and triangle DEF be similar triangles such that the scale factor of triangle ABC and DEF is (2/3). The perimeter of triangle ABC is 20 inches. What is the perimeter of...

Scale FactorGeometryGeometry Word ProblemsScale Drawings And ModelsScale Drawings
  • An Appetite for Design: Scale Drawings of Geometric Figures printable
  • Answer Key: Designing With Geometry printable
  • Standards Chart: Geometry printable
  • Whiteboard or large graph paper and markers
  1. Make a class set of the An Appetite for Design: Scale Drawings of Geometric Figures printable.
  2. Print a copy of the Answer Key: Designing With Geometry printable for your use.

Introduction to Scale Drawings of Geometric Figures

Step 1: Draw a rectangle on the board with width labeled as 3" and length as 6". Indicate to the class that it represents a chocolate bar. Suppose the candy company wanted to make a larger-size bar with the same shape. If they made the length 18", what would the width have to be? (Answer: 9")

Step 2: Show that the sides of the original bar have a ratio of 3 to 6 or 3:6. Make sure the class is comfortable with the definition of ratio (the relative sizes of two or more quantities) and the two ways to express a ratio. Indicate that if the company wants to make a larger bar with the same shape, the larger bar must be in proportion to the original bar. To do so, it must have the same ratio of width to length. 3/6 = 9/18. Indicate that a proportion is a statement showing that two ratios are equal.

Step 3: We can calculate the scaling factor by comparing the length of corresponding sides of the new and the original chocolate bar. The width of the new bar is 9" and the original is 3", so the scaling factor is 9/3 or 3. Note that if we went from the larger bar to the smaller one, the scaling factor would be 3/9 = 1/3, the reciprocal of the scaling factor obtained when going from the smaller bar to the larger bar. Indicate that, although this might seem obvious, it can be quite helpful when trying to make scale drawings of shapes more complicated than a rectangle.

Step 4: Practice with the class, asking what the sides of a 4" x 6" rectangle would be if the scaling factor were 4 (16" x 24") and if the scaling factor were 1/2 (2" x 3").

Step 5: Indicate that scaling factors when going from smaller to larger shapes aren't always whole numbers. Ask what the dimensions of a 4" x 6" rectangle would be if the scaling factor were 2.5 (10" x 15").

Step 6: Point out that the scaling factor doesn't work the same way when applied to area. For example, the area of a 2" x 4" rectangle is 8 square inches while the area of a proportional 4" x 8" rectangle is 32 square inches. If appropriate for your class, point out that, to create a proportional rectangle, the scaling factor must be squared then multiplied by the area of the original rectangle, i.e., 22 x 8 square inches.

Step 7: Relate the concept to maps. Ask how long the actual distance from city A to city B would be if the scaling factor were 1cm = 100km and the distance on a map was 7.5cm (750km).

Guided Practice

Step 8: Draw a rectangle on the board, labeling the side lengths as 3 meters and 4 meters. Ask the class to draw a proportional rectangle with a scaling factor of 3 and another proportional rectangle with a scaling factor of 1/2. Assign the following problems for students to complete in pairs while discussing their thinking:

  1. Find the lengths of the sides. Answer: 9 meters and 12 meters when the scaling factor is 3. 1.5 meters and 2 meters when the scaling factor is 1/2.
  2. Find the areas. Answer: 108 square meters when the scaling factor is 3. 3 square meters when the scaling factor is 1/2.

Step 9: Checking for Understanding: Review answers as a class and respond to any questions.

Independent Practice

Step 10: Assign the An Appetite for Design: Scale Drawings of Geometric Figures printable for classwork or homework.

Step 11: Checking for Understanding: Review the answers to the An Appetite for Design: Scale Drawings of Geometric Figures printable, which are provided on page 1 of the Answer Key: Designing With Geometry printable. Make sure students explain their mathematical thinking. Address any misconceptions that may arise.

  • Grade 7: Scale Drawings of Geometric Figures (CCSS 7.G.A.1)
  • Grades 6–8: Making Sense of Problems, Reasoning, Constructing an Argument, Modeling, Using Appropriate Tools, Attending to Precision, and Using Structure (CCSS MP1–7); NCTM Geometry

For more information, download the comprehensive Standards Chart: Geometry printable.


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