If a square has a diagonal of length 10, what is its area?

The area of a square with a diagonal of length 1 0 is 1 0 0 square units . \n To find the area of a square , you can use the formula : \n Area = Side x Side \n Since the diagonal of the square is 1 0 , we can find the length of one side by divid ing the diagonal by the square root of 2 : \n Side = Di agonal / sq rt ( 2 ) \n Sub st itut ing 1 0 for the diagonal , we get : \n Side = 1 0 / sq rt ( 2 ) \n Sim pl ifying , we get : \n Side = 5 \n There fore , the area of the square is : \n Area = Side x Side \n Area = 5 x 5 \n Area = 2 5 \n However , we made an error in our calculation . The correct formula for the area of a square is : \n Area = Side x Side \n Since the diagonal of the square is 1 0 , we can find the length of one side by divid ing the diagonal by the square root of 2 : \n Side = Di agonal / sq rt ( 2 ) \n Sub st itut ing 1 0 for the diagonal , we get : \n Side = 1 0 / sq rt ( 2 ) \n Sim pl ifying , we get : \n Side = 5 \n There fore , the area of the square is : \n Area = Side x Side \n Area = 5 x 5 \n Area = 2 5 \n So , the area of the square is 2 5 square units . </s>