Question

vincents swimming pool is 24 meters by 32 meters. he swam from one corner of the pool to the opposite corner. how far did vincent swim?
meters

Explanation:

Step1: Identify right triangle sides

The pool is a rectangle, so the swim path is the hypotenuse of a right triangle with legs $a=24$ m and $b=32$ m.

Step2: Apply Pythagorean theorem

Use $c = \sqrt{a^2 + b^2}$, substitute values:
$$c = \sqrt{24^2 + 32^2}$$

Step3: Calculate squared terms

$$24^2 = 576, \quad 32^2 = 1024$$

Step4: Sum and take square root

$$c = \sqrt{576 + 1024} = \sqrt{1600}$$

Step5: Compute final value

$$\sqrt{1600} = 40$$

Answer:

40 meters