Finding the dimension

Question

An architect's blueprints call for a dining room measuring 13 feet by 13 feet. The customer would like the dining room to be a square, but with an area of 250 square feet. How much will this add to the dimensions of the room?

Answer 1

The current room is 169 ft² (13 x 13)

The new room needs to be 5√10 x 5√10 (250 ft²)

 

How much more is 5√10 than 13?