Question

Jon would like to create a triangle below, but he needs exact dimensions. If the traingle given has the same perimeter as a square with a side length of 9, what is the value of y?

Answer 1

For this case we know that the perimeter is given by:

`P=y+9+2y+4y-1`

And if we solve the algebra we got:

`P=7y+8`

And we know that the perimeter is equal to the perimeter of a square of 9 of lenght and we know that the perimeter is:

`P=4x=4\cdot9=36`

We can set up the perimeter equal to this number we got:

`36=7y+8`

Now we can solve for y we got:

`y=(36-8)/(7)=(28)/(7)=4`