Whitney E.

How do you find the scale factor when given Area 1 and Area 2

Given 2 areas, what is the scale factor going from both areas?

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4.7 (69)

Experienced Prof

Norbert J. M. answered • 12/22/15

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5.0 (162)

Math / Structural Engineering

Susuny H.

What if its reduced
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06/09/20 Norbert J. M.

tutor
Sunsuny: The same rule applies... ”if the lengths are halved (x½), then the area factor is (½)²=¼ In my original example...W₁=3in, L₁=5in... ∴ A₁=3x5=15in² So, if dimensions are halved... W₂=W₁x½=3x½=1.5in L₂=L₁x½=5x½=2.5in ∴A₂=W₂xL₂=1.5x2.5=3.75in² -or- ∴ A₂=A₁x(½)²=15x¼=3.75in²...same as above! Always check your work! Hope this helps.
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06/10/20

Lisa L.

What if the question is this " The volume of a child's model plane is 1200cm^3. The volume of the full-size plane is 4050m^3. Find the scale of the model in the form 1:n."
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03/17/21 Norbert J. M.

tutor
Lisa: As I stated above, if the sides lengths (one dimension) are multiplied by a factor of “k”, the corresponding areas (two dimensions) are are multiplied by a factor of “k² “. Extending that thinking to volume (three dimensions), the corresponding volumes are multiplied by a factor of “k³ ”. So…V₂/V₁ = 4050/1200 = 3.375, k³ = 3.375, ∴ k = 1.5 And your ratio 1:n reads…..1 : 1.5
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