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About Azeem Hussain
Expertise
I can answer virtually any kind of question dealing with of Math 536 and below, my forte being in parabolic functions and analytical geometry. I'm currently learning Calculus I, and cannot answer questions that deal with subject matter more advanced than that.

Experience
I am neither a professor nor a teacher of this subject. I am merely a student who is gifted at mathematics and enjoys being of service to his community. I frequently tutor people in math and the results are usually great.

Publications
Reflections, Riverside School Board (2005, 2006)

Education/Credentials
Diploma of Secondary Studies from Chambly Academy High School, and IBO-MYP certificate as well. My lowest mark on a high school math final was 97%, peaking at 99% in 2006 and 2007 (second-highest Math 436 mark in the province). Being a Quebecer, I am fluent in English and French and can respond to questions easily in both languages.

Awards and Honors
Pascal Math Competition, School Champion(2007)

 
   

You are here:  Experts > Science > Math for Kids > Geometry > Similarity - Areas

Topic: Geometry



Expert: Azeem Hussain
Date: 7/12/2008
Subject: Similarity - Areas

Question
the perimeters of two similar polygons are 36 and 48.  if the area of the larger polygon is 96, what is the area of the smaller polygon?

Answer
Hi Meilani!

You need to find the scale factor, k.  This is the ratio of one-dimensional measurements: side, height, radius, perimeter...  (Note that capital letters refer to the larger figure.)
k=l/L
k=(36)/(48)
k=3/4

Areas, however, are in 2 dimensions.  The scale factor to the power of the number of dimensions equals the ratios of the areas.
k^2=a/A
(3/4)^2=a/(96)
9/16=a/96
a=54

SOLUTION: The smaller polygon's area is 54 square units.

Thanks for asking,
Azeem

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