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Scale Factor

Shrinking and expanding figures to maintain the original proportions of the shape involves understanding how to scale a figure. Besides considering how a scale factor changes the
linear dimensions, these problems may also address how the perimeter or area are affected.
 Related Resources

Interactive resources from our Math Tools project:
Math 7: Ratio and Proportion
The closest match in our Ask Dr. Math archives:
Middle School: Ratio and Proportion
NCTM Standards:
Number and Operations Standard for Grades 68
Access to these problems requires a Membership.

Designing Doorways for Rich and Riz
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Find the height for a doorway for Riz that gives him a proportional
amount of room as Rich has in the pictured doorway.
... more>>

How Wide Is My Garden?
 Judy Ann Brown

PreAlgebra, difficulty level 3. A scale drawing is used to determine the width and area of a garden.
... more>>

Lee's Lawn Chair
 Lee & Suzanne Alejandre

PreAlgebra, difficulty level 3. Using the measurements given in the problem, determine the scale
factor used to create the larger chair.
... more>>

Photo Wall
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Find the dimensions of the large poster.
... more>>

Sizing Up Sequoias
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Compared to a given seed weight, find out how much an average mature sequoia weighs.
... more>>

Tiling Triangles
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Given the dimensions of a large triangle, find the dimensions of the 25 small triangles that tile it.
... more>>
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