SOLUTION: An architect is making a floor plan for a rectangular gymnasium. The distance between opposite corners of the gym will be 37 meters and the width will be 12 meters. What will be th

Question 1131874: An architect is making a floor plan for a rectangular gymnasium. The distance between opposite corners of the gym will be 37 meters and the width will be 12 meters. What will be the length of the gym?
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
Assuming we are taking all measurements at the same height (say, at the floor), you can apply the Pythagorean theorem (l^2 + w^2 = h^2, where h=diagonal)

Solving for length, length = sqrt(h^2 - w^2):

length = meters.

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