Two similar trapezoids have areas of 180cmsquared and 48cmsquared. Find the ratio of similarity.
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OpenStudy (campbell_st):
find the ratio of areas
180:48.... simplify this ratio... then take the square root of each to give the linear ratio
OpenStudy (hy123):
108:48*
OpenStudy (campbell_st):
ummm is there a type in your question is it 180 or 108..?
OpenStudy (hy123):
yeah typo
OpenStudy (hy123):
2.25:1?
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OpenStudy (campbell_st):
ok... so find the common factor in 108:48
OpenStudy (campbell_st):
or just simplify it
OpenStudy (hy123):
So it will be 2.25:1 ?
OpenStudy (hy123):
I'm confused on what the question is asking for.
OpenStudy (campbell_st):
ok... 12 is the largest common factor of 108 and 48
so the ratio simplifies to 9:4
this is the ratio of the areas...
to find the ratio of the side lengths... ( linear measurements)
take the square root of each
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OpenStudy (hy123):
It isn't asking for the linear measurements. Just the ratio of similarity.
OpenStudy (hy123):
Unless that is what ratio of similarity is.
OpenStudy (campbell_st):
the similarity ratio is the ratio of the corresponding sides....
9:4 is the ratio of areas...