2questions ples answer 1-the area of a certain square 64, what would be the area of the second square over whose perimeter was half as large? 5-ann is 18 times as old as her son. one year ago, she was three times as old as her son. how old is the son?

1. We are given:


The only a which squared gives you 64 is 8. The perimeter of an 8 by 8 square will be 32. Half of that is 16. Now, let's see what we can do. We can set up:


Obviously, each side length has to be 4. So, the area of this square will be 16 units².

2. Let n equal her son's age. So, her age right now will be (S = her age):

1 year ago it was:


We have 2 equations, let's substitute. We can rewrite this as:

Solve for n:



We know the value of n, which is her son's age. So, her son is 1/15 of a year old or about 24 days old. 

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