Question

2 questions 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?

Answer 1

1. We are given:

`a^2 = 64`

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:

`4a = 16`

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):

`S = 18n`
1 year ago it was:

`S-1 = 3n`

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

`18n-1 = 3n`
Solve for n:

`15n-1=0`

`n= (1)/(15)`

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.