An architect is making a floor plan for a rectangular gymnasium. The distance between opposite corners of the gym will be 30 meters and the width will be 18 meters. What will be the length of the gym?

30^2=A^2+18^2

900=A^2+324

900-324=A^2

576=A^2

24=A

Length is 24 meters

The length is: 24 meters

Here's why

So the hypotenuse theory or aka A^2 + B^2 = C^2 lets us know this:

A = 18

B = What we are looking for

C = 30

So before we apply these we're going to do some magic:

B = sqrt (-A^2 + C^2)

Now just put in the numbers

B = sqrt (-18^2 + 30^2)

B = sqrt (576)

B = 24 meters