Suppose a lab measures 40 feet by 27 feet. If you are in the upper left corner and need to walk diagonally to the lower right corner, what is the distance you w

Question

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Answer 1

This is a Pythagorean theorem problem.

 

We are assuming this lab is rectangular (the walls are 90 degrees to each other).  

Your legs are: 40 and 27 so

(Diagonal)² =40² + 27² feet

Thus Diagonal=(40² + 27²)^1/2 feet=48 feet

Answer 2

If this lab is rectangular in shape, then you are given the length and the width of the rectangle. If you walk (in a straight line) diagonally from one corner of the rectangle to the opposite corner, then you will have formed the diagonal of the rectangle, and also the hypotenuse of a right triangle with legs of 40 and 27 ft, respectively. Since you know two sides of the right triangle, then you can use the Pythagorean Theorem to find the missing third side.

 

a² + b² = c²,  where c = the length of the hypotenuse